How does net torque relate to angular momentum?
AIt equals the rate of change of angular momentum
BIt equals angular momentum times the time taken
CIt equals angular momentum divided by the radius
DIt equals the square of the angular momentum
Answer & Solution
Correct answer: A. It equals the rate of change of angular momentum
1. For straight-line motion, force equals the rate of change of linear momentum, F = delta p / delta t.
2. The rotational analogue is net tau = delta L / delta t.
3. So a net torque is exactly the rate at which angular momentum changes.
4. This is the rotational form of Newton's second law and is very broadly applicable.
_Source: OpenStax College Physics (CC BY 4.0), Ch 10 "Rotational Motion and Angular Momentum", section 10.5 Angular Momentum and Its Conservation_
Keep practising Rotational Motion and Angular Momentum
Browse all Rotational Motion and Angular Momentum questions for B.Tech Robotics, or explore more Mechanics topics.
Related questions
Angular momentum is a vector. Is rotational kinetic energy also a vector?A torque acts on a spinning body. In which direction does its angular momentum change?How is the direction of angular velocity and angular momentum found for a spinning disk?A hinged stick is struck at various points along its length. At which point is no force deAbout how long was a day on Earth some 900 million years ago?What keeps Earth turning, and what is slowly changing its rate of spin?Earth is treated as a uniform sphere of mass 5.979 x 10^24 kg and radius 6.376 x 10^6 m, tA skater has 2.34 kg m^2 at 0.800 rev/s with arms out, and 0.363 kg m^2 at 5.16 rev/s with