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In non uniform circular motion, the ratio of tangential to radial acceleration is (r=the radius of the circle, v=the speed of the particle, α=the angular acceleration

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Important Questions on Circular Motion

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A car is moving with speed 30 m s-1 on a circular path of radius 500 m. Its speed is increasing at the rate of 2 m s-2. What is the acceleration of the car?
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One end of the string of length l is connected to a particle of mass m and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in a circle with speed v, the net force on the particle (directed towards the centre) will be (T represents the tension in the string)
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A particle of mass m is executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum, the radial force acting on the particle is
 
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The magnitude of the centripetal force acting on a body of mass m executing uniform motion in a circle of radius r with speed v is
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If tension in a string is 6.4 N. A load at the lower end of a string is 0.1 kg, the length of the string is 6 m then find its angular velocity g=10 m s-2
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A cyclist turns around a curve at 15 miles per hour. If he turns at double the speed, the tendency to overturn is
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A body of mass m performs U.C.M. along a circular path of radius r with a velocity v. If its angular momentum is L, then its centripetal force is