U6.3 – Circular Motion

What is the following angle in radians: 170°

What is the following angle in radians: 263°

What is the following angle in degrees: 0.75 rad

Complete the sentence: “The centripetal force acts at ___ to the velocity of an object."

A crunchie of mass 40 g is whirled round on the end of a string 0.50 m long. It makes six complete revolutions each second. Calculate the tension in the string.

A vinyl record rotates at 45 revolutions per minute. Calculate the angular speed in radians per second.

Calculate the linear speed of Mars in its orbit around the sun. 1 year on Mars = 687 Earth days, Radius of Orbit_Mars ≈ 2.28x10⁸ km

A boy swings a mass on a string in a horizontal circle at 120 revolutions per minute. The length of the string is 75cm and the mass is 150g. Calculate the angular velocity of the mass.

An big bottle of Tango of mass 2 kg is rotated in a vertical circle on a string of length 80 cm. The string will break when the tension in it becomes 650 N. The speed of rotation is gradually increased from zero. Calculate the exact angular velocity at which the string breaks...

A conical pendulum consists of a mass of 600 g rotating on a string of length 55 cm. The cord makes an angle of 18° to the vertical. Calculate the tension in the string. g = 9.81 ms^-2

A particle of charge q, mass m is accelerated from rest through a potential difference, V and then travels through a magnetic field, B, at a right angle. It moves in a circle of radius r. Which equation represents the centripetal force on the particle in the magnetic field in terms of V.

A Boeing 737 is flying in a horizontal circle of radius 1.6 km, banked at 15° awaiting a landing slot at Manchester Airport. Air Traffic Control have told the pilot she needs to wait 15 minutes before the plane can land. Calculate how many complete circles she will complete before landing. g = 9.81 ms^-2