Circular Motion

What is the direction of the centripetal force acting on an object moving in a circular path?

A car is moving at a constant speed of 20 m/s around a circular track of radius 50 m. What is the magnitude of its centripetal acceleration?

Which of the following quantities remains constant for an object moving in uniform circular motion?

A stone tied to a string is whirled in a vertical circle. At the top of the circle, the tension in the string is zero. What is the minimum speed of the stone at the top? (mass = m, radius = r, g = acceleration due to gravity)

A satellite orbits Earth at a height where gravitational acceleration is g/4. What is the radius of the satellite’s orbit in terms of Earth's radius R?

A particle moves in a circle of radius 0.5 m with an angular velocity ω = 4 rad/s. What is the centripetal force acting on the particle if its mass is 2 kg?

In a conical pendulum, the string makes an angle θ with the vertical. If the length of the string is L and the bob moves with angular velocity ω, what is the expression for ω?

A particle moves in a circle of radius r with constant speed v. If the speed is doubled, how does the centripetal force change?

A wheel of radius 0.3 m rotates at 600 rpm. What is the centripetal acceleration of a point on the rim?

A particle moves in a circle with angular acceleration α. If its angular velocity at time t is ω, what is the tangential acceleration a_t?