Unreasonable Results A gymnast doing a forward flip lands on the mat and exerts a 500-N · m torque to slow and then reverse her angular velocity. Her initial angular velocity is 10.0 rad/s, and her moment of inertia is 0.050 kg ? m2. (a) What time is required for her to exactly reverse her spin? (b) What is unreasonable about the result? (c) Which premises are unreasonable or inconsistent?
Step-by-step solution Step 1 of 5 Gymnast doing a forward flip, lands on the mat and suddenly reverses her angular velocity, calculate angular velocity. Step 2 of 5 (a) The angular acceleration of the gymnast is, Here is the torque exerted and is the moment of inertia of the gymnast. Substitute, and Required time taken to reverse her velocity calculate from newton’s first law of motion, First calculate the time taken to land on the mat, here angular deceleration of the body takes place. Here, is the initial angular velocity is the final angular velocity and is the angular deceleration. Substitute, , and Substitute, , and Add both the values of and the total time taken is Step 3 of 5 (b)