DiFabio Phys 207 Rotational Begin Date: 10/30/2017 12:00:00 AM- Due Date: 11/13/

Question

DiFabio Phys 207 Rotational Begin Date: 10/30/2017 12:00:00 AM- Due Date: 11/13/2017 11:59:00 PM End Date: 11/13/2017 11:59:00 PM (8%) Problem 13: While punting a football, a kicker rotates his leg about the hip joint. The moment of inertia of the leg is 3.65 kg .m2 and its rotational kinetic energy is 195 J Randomized Variables 1-3.65 kg m2 KErot= 195 J d=1.2m 50% Part (a) what is the angular velocity of the leg in rad/s? 1% 99% Potential sin0 coso cotanO asin0acos0 atan0 acotan sinh0) 45 6 1 23 1% per attempt) ed vlew tanh0c O Degrees Radians Submit Hints:-fora-deduction. Hints remaining The more energy the leg has the faster the angular velocity will be. The more moment of inertia the leg has, the faster the angular 50% Part (b) What is the velocity of tip of the punter's shoe, in meters per second, if it is 1.2 m from the hip joint?

Explanation / Answer

The rotational kinetic energy is

Kerot = 1/2 Iw2

Rearrange the equation for the angular velocity

A) W = sqrt 2Kerot / I

= sqrt 2*195/3.65

= 10.337 rad/s

B) The linear velocity is

V = rw

= (1.2)(10.337)

= 12.404 m/s

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