A pitcher throws a curveball that reaches the catcher in 0.53 s. The ball curves because it is spinning at an average angular velocity of 335 rev/min (assumed constant) on its way to the catcher's mitt. What is the angular displacement of the baseball (in radians) as it travels from the pitcher to the catcher?

Solution Preview

The angular displacement theta = wt

However, we need to ...

Solution Summary

The solution shows the detailed calculation of the angular displacement of the baseball, which has a constant angular velocity.

A variable torque is applied to a rotating wheel at t = 0 and causes the clockwise angular acceleration (alpha) to increase linearly with the clockwise angulardisplacement (theta) of the wheel during the next 30 revolutions.
when theta is 0, alpha is 10 rads/sec^2.
when theta is 30 revs, alpha is 20 rds/sec^2, and the angul

A basketball player is balancing a spinning basketball on the tip of his finger. The angular velocity of the ball slows down from 18.5 to 14.1 rad/s. During the slow-down, the angulardisplacement is 85.1 rad. What is the time it takes for the ball to slow down?

An 0.50 kg object is attached to one end of a spring, and the system is set into simple harmonic motion. The displacement x of the object as a function of time is shown in the drawing below. With the aid of this data, determine the following values.
(a) amplitude A of the motion
(b) angular frequency
(c) spring c

Question: The blades of a fan running at low speed turn at 250 rpm. When the fan is switched to high speed, the rotation rate increases uniformly to 350 rpm in 5.75 s.
a.) What is the magnitude of the angular acceleration of the blades?
b.) How many revolutions do the blades go through while the fan is accelerating?

Could you please provide the answers and workings out to the following physics problems.
1. A wheel with a 0.10-m radius is rotating at 35 rev/s. It then slows uniformly to 15 rev/s over 3.0-s interval. What is the angular acceleration of a point on the wheel?
2. During the spin-dry cycle of a washing machine, the motor slo

A Ferris wheel rotates at an angular velocity of 0.24 rad/s. Starting from rest, it reaches its operating speed with an average angular acceleration of 0.030 rad/s^2. How long does it take the wheel to come up to operating speed?

See attached file.
The double pulley below has a moment of inertia of 50 kgm2 and is initially at rest. The outside radius is 500 mm and the inner radius is 250 mm.
a) Find the angular acceleration of the pulley.
b) Find the angular velocity of the pulley after point A on the cord has moved 3.5 m.

A baseball player is running to second base at 5.63 m/s. When he is 5.20 m from the plate he goes into a slide. The coefficient of kinetic friction between the player and the ground is 0.220. What is his speed when he reaches the plate?
4.47 m/s
3.04 m/s
1.96 m/s
He stops before reaching the plate.

A Ferris wheel rotates at an angular velocity of 0.24 rad/s. Starting from rest, it reaches its operating speed with an average angular acceleration of 0.030 rad/s^2. How long does it take the wheel to come up to operating speed?