Question 1 (2.5 points) A wheel with 1.3 m in diameter is moving without slippin

Question

Question 1 (2.5 points) A wheel with 1.3 m in diameter is moving without slipping with a speed of 3.5 m/s. What is the value of its angular velocity? Give your answer with one decimal point Your Answer: Answer units Save Question 2 (2.5 points) A 0.55 kg soccer ball with a radius of 0.23 is rolling without slipping with a center of mass velocity of 5.5 m/s. Calculate its kinetic energy. Give your answer to 1 decimal place Your Answer: Answer units Save Question 3 (2.5 points) A tension force of cable wrapped around a 3.5 kg solid cylinder is 14.5 N. The radius of the cylinder is 0.8 m. How long time should the tension be applied to give a change of angular momentum of 25.0 kg mA2/s. Give your answer with one decimal point. Your Answer Save Question 4 (2.5 points) A tension force of cable wrapped around a 2.5 kg solid cylinder is 12.5 N. The radius of the cylinder is 0.7 m. Calculate the angular acceleration of the cylinder. Give your answer with one decimal point. Your Answer Save

Explanation / Answer

1.

Angular velocity is given by:

w = V/r

r = 1.3/2 = 0.65

Using given values:

w = 3.5/0.65 = 5.4 rad/sec

Q2.

Total KE is given by:

KEt = KEtrans + KErot

KEt = 0.5*M*V^2 + 0.5*I*w^2

I = moment of inertia of ball = 2*M*r^2/3

w = V/r

KEt = 0.5*M*V^2 + 0.5*(2*M*r^2/3)*(V/r)^2

KEt = M*V^2/2 + M*V^2/3

KEt = M*V^2*(5/6)

KEt = 0.55*5.5^2*(5/6) = 13.9 J

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