A neutron star of mass

$$2 × 10^{30} kg$$

and radius 10 km rotates with a period of 0.02 seconds. What is its rotational kinetic energy?

At its peak, a tornado is 60.0 m in diameter and carries 500 km/h winds. What is its angular velocity in revolutions per second?

A vertical wheel with a diameter of 50 cm starts from rest and rotates with a constant angular acceleration of 5.0 rad/s² around a fixed axis through its center counterclockwise. (a) Where is the point that is initially at the bottom of the wheel at t = 10 s? (b) What is the point's linear acceleration at this instant?

A uniform rod of mass $1.0 \mathrm{~kg}$ and length $2.0 \mathrm{~m}$ is free to rotate about one end (see the following figure). If the rod is released from rest at an angle of $60^{\circ}$ with respect to the horizontal, what is the speed of the tip of the rod as it passes the horizontal position?

Multiply. 22. 7(-14)

A disk rotates about an axis through its center. Point A is located on its rim and point B is located exactly halfway between the center and the rim. What is the ratio of the tangential velocity $\omega_{A}$ to that of $\omega_{B}$.

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 $\cdot$ m$^2$ , what is the rotational kinetic energy of the forearm?

At its peak, a tornado is 60.0 m in diameter and carries 500 km/h winds. What is its angular velocity in revolutions per second?

A disk rotates about an axis through its center. Point A is located on its rim and point B is located exactly halfway between the center and the rim. What is the ratio of the angular velocity $\omega_{A}$ to that of $\omega_{B}$.

The original price of a car is entered into spreadsheet cell A1 and the length of time it takes to totally depreciate is entered into cell B1. Write the spreadsheet formula that calculates the amount that the car depreciates each year.

A neutron star has a mass of

$$2.0 \times 10 ^ { 30 } \mathrm { kg }$$

(about the mass of our sun) and a radius of

$$5.0 \times 10 ^ { 3 } \mathrm { m }$$

(about the height of a good-sized mountain). Suppose an object falls from rest near the surface of such a star. How fast would it be moving after it had fallen a distance of 0.010 m? (Assume that the gravitational force is constant over the distance of the fall, and that the star is not rotating.)

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?

During a 6.0-s time interval, a flywheel with a constant angular acceleration turns through 500 radians that acquire an angular velocity of 100 rad/s. (a) What is the angular velocity at the beginning of the 6.0 s? (b) What is the angular acceleration of the flywheel?

A track star runs a 400-m race on a 400-m circular track in 45 s. What is his angular velocity assuming a constant speed?