Work Done By a Constant Torque  Power & Moment of Inertia  Rotational Motion Physics Problems  Summary and Q&A
TL;DR
Learn how to calculate work done and average power exerted by a torque in rotational motion using torque, angular displacement, and time.
Key Insights
 💦 Work in rotational motion is equivalent to force times angular displacement.
 🦾 Torque is the rotational equivalent of force and is calculated as force times lever arm.
 💦 Average power in rotational motion is work divided by time.
 🦾 Lever arm or moment arm is the distance between the line of action of the force and the axis of rotation.
 💦 Rotational kinetic energy can be used to calculate work in rotational motion.
 📐 Inertia and angular acceleration can be used to calculate torque.
 ✊ Average angular speed can be used to calculate average power.
Transcript
in this video we're going to talk about how to calculate the work done by a constant torque so in this problem we have a constant torque of 50 newton meters and it's applied to a will causing it to make 40 rotations in a time period of 8 seconds calculate the work done by the torque so work we know its force times displacement and angular displacem... Read More
Questions & Answers
Q: How can the work done by a torque be calculated in rotational motion?
The work done by a torque can be calculated using the equation work = torque * angular displacement. The torque is the force applied multiplied by the lever arm, and the angular displacement is measured in radians.
Q: What is the average power exerted by a torque and how is it calculated?
The average power exerted by a torque is calculated by dividing the work done by the time taken. Average power = work / time. Power is measured in watts, and one joule per second is equal to one watt.
Q: How can the average power exerted by a torque be calculated when given the torque and angular velocity?
To calculate the average power exerted by a torque, multiply the torque by the angular velocity: average power = torque * angular velocity. Angular velocity is measured in radians per second.
Q: How can the amount of work performed by a torque be calculated in a given time period?
To calculate the work performed by a torque in a given time period, multiply the power exerted by the time taken: work = power * time. Make sure to convert the time into seconds for the calculation.
Summary & Key Takeaways

Work done in rotational motion can be calculated using the equation work = torque * angular displacement.

Average power exerted by a torque can be found by dividing the work done by the time taken.

In the provided examples, calculations are performed to find the work done and average power exerted in different scenarios.