Answer:
a) w = 9.4345 rad/s
b) V = 9.9062 m/s
Explanation:
a)
we know that:
K = [tex]\frac{1}{2}IW^2[/tex]
where K is rotational kinetic energy, I is the moment of inerta and W is the angular velocity. So, replacing the values, we get:
162J = [tex]\frac{1}{2}(3.64)W^2[/tex]
solving for W:
w = 9.4345 rad/s
b) V = WD
where V is the velocity of the tip of the punter's shoe, W the angular velocity and D the distance between his hip joint and the tip of the punter's shoe. Replacing the values, we get:
V = (9.4345 rad/s)(1.05 m)
V = 9.9062 m/s