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Rotational Motion Kinematics and Dynamics

Last updated over 1 year ago
15 questions

An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (round all answers to 3 sig figs)

1

What is its angular acceleration in rad/s2?

1

What is the tangential acceleration of a point 9.50 cm from the axis of rotation?

1

What is the radial (centripetal) acceleration in m/s2 of this point at full rpm?

During a very quick stop, a car decelerates at 7.00 m/s2. (round all answers to 3 sig figs)

1

What is the angular acceleration of its 0.280-m-radius tires, assuming they do not slip on the pavement?

1

How many revolutions do the tires make before coming to rest, given their initial angular velocity is 95.0 rad/s?

1

How long does the car take to stop completely?

1

What distance does the car travel in this time?

1

What was the car’s initial velocity?

1

A soccer player extends his lower leg in a kicking motion by exerting a force with the muscle above the knee in the front of his leg. He produces an angular acceleration of 30.00 rad/s2 and his lower leg has a moment of inertia of 0.750 kg ⋅ m2. What is the force exerted by the muscle if its effective perpendicular lever arm is 1.90 cm? (round to 3 sig figs)

Consider the 12.0 kg motorcycle wheel shown in Figure 1. Assume it to be approximately an annular ring with an inner radius of 0.280 m and an outer radius of 0.330 m. The motorcycle is on its center stand, so that the wheel can spin freely.

I = ½m(r12 + r22)

round all answers to 3 sig figs

1

If the drive chain exerts a force of 2200 N at a radius of 5.00 cm, what is the angular acceleration of the wheel?

1

What is the tangential acceleration of a point on the outer edge of the tire?

1

How long, starting from rest, does it take to reach an angular velocity of 80.0 rad/s?

1

A baseball pitcher throws the ball in a motion where there is rotation of the forearm about the elbow joint as well as other movements. If the linear velocity of the ball relative to the elbow joint is 20.0 m/s at a distance of 0.480 m from the joint and the moment of inertia of the forearm is 0.500 kg ⋅ m2, what is the rotational kinetic energy of the forearm? (round to 3 sig figs)

While punting a football, a kicker rotates his leg about the hip joint. The moment of inertia of the leg is 3.75 kg⋅m2 and its rotational kinetic energy is 175 J. (round all answers to 3 sig figs)

1

What is the angular velocity of the leg?

1

What is the velocity of tip of the punter’s shoe if it is 1.05 m from the hip joint?