Worksheet: Angular Impulse
In this worksheet, we will practice calculating the angular impulse given to an object when a torque is applied to it for a period of time.
Which of the following quantities has the same units as angular impulse?
- AMoment of inertia
- CLinear momentum
- DAngular velocity
- EAngular momentum
An object is rotating with an angular velocity of 44 rad/s. A torque of 0.23 N⋅m is applied to the object, which brings it to a stop in 135 s. What is the moment of inertia of the object? Give your answer to 2 significant figures.
An object with a moment of inertia of 3.2 kg⋅m2 around its axis of rotation initially has an angular velocity of 5.0 rad/s. A torque is applied to the object for 22 s, after which time it has an angular velocity of 48 rad/s. What is the magnitude of the torque applied to the object? Give your answer to 2 significant figures.
The wheel of a truck has a moment of inertia around its axis of rotation of 5.8 kg⋅m2. The wheel is initially rotating at 52 rad/s. The brakes of the truck can apply a maximum torque of 24 kg⋅m2/s2 to the wheel. What is the minimum time in which the brakes of the truck can be used to stop the wheels from turning? Give your answer to 3 significant figures.
- A 139 s
- B 215 s
- C 0.370 s
- D 2.68 s
- E 12.6 s
A torque of 3.4 nm is applied to a solid metal disk over a period of time, giving the disk an angular impulse of 187 kg⋅m2/s. For how long was the torque applied to the disk?
The wheel of a bike that is initially not rotating has a moment of inertia around its axis of rotation of 0.800 kg⋅m2. A torque of 0.450 nm is applied to the wheel for 12.0 s. What is the magnitude of the angular velocity of the wheel at the end of this time?
An object is given an angular impulse of 16 kg⋅m2/s over 64 s. What average torque was applied to the object?
An ice-skater performs a spin on an ice rink. At the start of the spin, he gains an angular impulse of 450 kg⋅m2/s in just 0.60 s. What average torque was applied to the ice-skater over this time?
A washing machine applies a torque of 8.0 kg⋅m2/s2 to the drum of the machine over a period of time, giving the drum an angular impulse of 960 kg⋅m2/s. For how long was the torque applied to the drum?
A torque of 0.2 kg⋅m2/s2 is applied to an object for 20 s. Then, a torque of 0.5 kg⋅m2/s2 is applied to the object for 5 s. What is the total angular impulse given to the object? Give your answer to two significant figures.
The SI units of torque are kilogram meters per second squared (kg⋅m2/s2). If a torque is multiplied by a time, what are the SI units of the resultant quantity?
- A kg⋅m2⋅s
- B kg⋅m2
- C kg⋅m2/s3
- D kg⋅m2⋅s2
- E kg⋅m2/s
A car accelerates for 20 s, during which time a torque of 32 N⋅m is applied to each of the wheels. What angular impulse was given to each wheel over the time it accelerates for?
The graph shows the torque that is applied to an object over time.
What is the average torque applied between 0 and 4 seconds?
What angular impulse is given to the object between 0 and 4 seconds?
The graph shows the torque applied to the rear wheel of a bike over time. What angular impulse is given to the wheel between 0 s and 7 s?