A object moves in a circular motion with a diameter of . What is the magnitude of this object's velocity?

A child is swinging a toy rocket around their head with a rope. If they double the frequency of "orbits", how will the tension in the rope change?

Pluto distance to sun:

Determine the centripetal acceleration of Pluto with respect to the Sun.

Consider the following system:

Two spherical masses, A and B, are attached to the end of a rigid rod with length l. The rod is attached to a fixed point, p, which is at a height, h, above the ground. The rod spins around the fixed point in a vertical circle that is traced in grey. is the angle at which the rod makes with the horizontal at any given time ( in the figure).

If the maximum centripetal force felt by mass A is , what is the minimum centripetal force it feels? Neglect air resistance and internal friction.

A car of mass is driving around a circular track of radius at a constant velocity of . The centripetal force acting on the car is . If the car's velocity is doubled, what is the new centripetal force required for the car to drive on the circular track?

At the 2015 NCAA Track Championships, a competitor in the hammer is in the midst of his throw. During a period of his pre-throw spinning, his hammer is moving at a constant angular velocity of in its circular orbit. Being a regulation hammer, it weighs , and the length of its rope is . What is the magnitude of the force exerted towards the competitor along the hammer's rope?

The radius of earth is . Assume the Earth is perfectly spherical.

A space shuttle has a mass of approximately 2.04 million kilograms when ready for launch. What is the difference of the force needed to create liftoff if the shuttle were launched from the equator versus the North Pole (due to the rotation of the Earth)?

Consider the following system:

Two spherical masses, A and B, are attached to the end of a rigid rod with length l. The rod is attached to a fixed point, p, which is at a height, h, above the ground. The rod spins around the fixed point in a vertical circle that is traced in grey. is the angle at which the rod makes with the horizontal at any given time ( in the figure).

If the masses are traveling at a velocity of as they mass through the horizontal, what is the greatest centripetal force felt by mass B? Neglect air resistance and internal friction forces.

A person of mass is riding a ferris wheel of radius . The wheel is spinning at a constant angular velocity of . Determine the force exerted on the rider by their seat at the top of the ferris wheel.

Estimate the centripetal acceleration of a car driving around a long perfectly circular track.