WorksheetsRotational Dynamics - Torques and Angular Velocity
Total questions: 10
Worksheet time: 5mins
Torques are responsible for causing changes in angular velocity. Which of the following best explains this relationship?
Torques produce angular acceleration, which changes angular velocity.
Torques only affect linear velocity, not angular velocity.
Angular velocity changes independently of torques.
Torques prevent any change in angular velocity.
Torques cause changes in angular velocity by:
Applying a force that results in rotational acceleration.
Maintaining constant angular velocity without any force.
Reducing the mass of the rotating object.
Increasing the temperature of the object.
What is torque?
Torque is a measure of the force that can cause an object to rotate about an axis.
Torque is a measure of the speed of an object.
Torque is the energy stored in a rotating object.
Torque is the distance an object travels in a straight line.
If the force is perpendicular to the radius of rotation, what is the lever arm equal to?
The angle θ
The force F
The distance from the axis (r)
The radius squared
Force and Angular Velocity: The lever arm (L) can be calculated by the equation L = ____ , where θ is the angle between the force and the radius from the axis of rotation to the point where the force is applied.
L = r sin θ
L = r cos θ
L = r tan θ
L = r θ
What force is applied when the wrench from Example Problem 1 is used with a 35-N·m torque applied at an angle 75° from the perpendicular?
1.4 × 10^2 N
2.8 × 10^2 N
7.0 × 10^1 N
3.5 × 10^1 N
Fill in the blank: The moment of inertia for a thin rectangular book rotating about its center is given by the formula I=121mL2 .
True
False
List the knowns and unknowns from Example Problem 3.
Known: m = 0.30 kg, ℓ = 0.66 m Unknown: I = ?
Known: m = 0.66 kg, ℓ = 0.30 m Unknown: I = ?
Known: m = 0.30 kg, ℓ = 0.66 m Unknown: ℓ = ?
Known: m = 0.66 kg, ℓ = 0.30 m Unknown: m = ?
If the torque and angular velocity are in different directions, then the angular velocity ______.
decreases
increases
remains constant
becomes zero
List the known quantities from the problem: m = 15 kg, r = 0.22 m, ωi = 0.0 rad/s, I = 0.36 kg·m², t = 5.00 s, ωf = 8.00 rev/s. Which of the following is NOT a known quantity?
m = 15 kg
α = ?
r = 0.22 m
t = 5.00 s
