Lab 5 Torque and Angular Acceleration - Andrews University

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Lab 5 Torque and Angular Acceleration
Objective:
< To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
< Rotating table
< Ring and disk
< Hooked weight sets
< Dial caliper
< Pasco Smart Pulley
< Pasco Science Workshop and Computer Interface
Physical principles:

Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ= Iα (1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ= F l (2)
⊥
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I =∑m r2 (3)
i ⊥
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a=rα (4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
< To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
< Rotating table
< Ring and disk
< Hooked weight sets
< Dial caliper
< Pasco Smart Pulley
< Pasco Science Workshop and Computer Interface
Physical principles:

Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ= Iα (1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ= F l (2)
⊥
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I =∑m r2 (3)
i ⊥
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a=rα (4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
< To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
< Rotating table
< Ring and disk
< Hooked weight sets
< Dial caliper
< Pasco Smart Pulley
< Pasco Science Workshop and Computer Interface
Physical principles:

Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ= Iα (1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ= F l (2)
⊥
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I =∑m r2 (3)
i ⊥
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a=rα (4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
< To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
< Rotating table
< Ring and disk
< Hooked weight sets
< Dial caliper
< Pasco Smart Pulley
< Pasco Science Workshop and Computer Interface
Physical principles:

Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ= Iα (1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ= F l (2)
⊥
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I =∑m r2 (3)
i ⊥
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a=rα (4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
< To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
< Rotating table
< Ring and disk
< Hooked weight sets
< Dial caliper
< Pasco Smart Pulley
< Pasco Science Workshop and Computer Interface
Physical principles:

Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ= Iα (1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ= F l (2)
⊥
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I =∑m r2 (3)
i ⊥
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a=rα (4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
< To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
< Rotating table
< Ring and disk
< Hooked weight sets
< Dial caliper
< Pasco Smart Pulley
< Pasco Science Workshop and Computer Interface
Physical principles:

Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ= Iα (1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ= F l (2)
⊥
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I =∑m r2 (3)
i ⊥
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a=rα (4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
< To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
< Rotating table
< Ring and disk
< Hooked weight sets
< Dial caliper
< Pasco Smart Pulley
< Pasco Science Workshop and Computer Interface
Physical principles:

Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ= Iα (1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ= F l (2)
⊥
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I =∑m r2 (3)
i ⊥
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a=rα (4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
< To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
< Rotating table
< Ring and disk
< Hooked weight sets
< Dial caliper
< Pasco Smart Pulley
< Pasco Science Workshop and Computer Interface
Physical principles:

Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ= Iα (1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ= F l (2)
⊥
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I =∑m r2 (3)
i ⊥
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a=rα (4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
< To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
< Rotating table
< Ring and disk
< Hooked weight sets
< Dial caliper
< Pasco Smart Pulley
< Pasco Science Workshop and Computer Interface
Physical principles:

Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ= Iα (1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ= F l (2)
⊥
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I =∑m r2 (3)
i ⊥
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a=rα (4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force
Lab 5 Torque and Angular Acceleration
Objective:
< To observe the relationship between torque, angular acceleration and moment of inertia.
Equipment:
< Rotating table
< Ring and disk
< Hooked weight sets
< Dial caliper
< Pasco Smart Pulley
< Pasco Science Workshop and Computer Interface
Physical principles:

Newton’s law of motion for rotation asserts that the net torque acting on an object equals the
product of its moment of inertia and its angular acceleration.
τ= Iα (1)
Torque is defined as the product of the component of force perpendicular to the lever arm and the
length of the lever arm.
τ= F l (2)
⊥
The moment of inertia is defined as the product of each mass piece times the square of that mass
from the axis of rotation.
I =∑m r2 (3)
i ⊥
When an object is rotating the tangential acceleration of a point on its surface is equal to the
angular acceleration of the object times the distance of the point from the axis of rotation.
a=rα (4)
The Experiment:
A rotating platform is accelerated by a string that is wrapped on a drum attached to it. The radius
of this drum is denoted by b and is determined as half of the diameter of the drum as measured
with the dial caliper. The string passes over a Smart Pulley and around a second pulley that
supports an accelerating mass m. The string is secured to a Force Sensor that measures the force