Question

A stone weighing 50g tied to one end of the string is to be rotated in a horizontal circle of 1 m with a speed of 5m/s. Calculate the Centripetal force required to do so .

Answer 1

$\bigstar\huge\underline{\mathtt{ Solution :}}$

As per the given data ,

• Mass of the stone = 50 g = 0.05 kg
• Speed of the stone = 5 m / s
• Radius of the string = 1 m

The force acting towards the centre on an object moving in circular motion is call as centripetal force

The centripetal acceleration of an object moving in circular motion is given by the formula

➽ a = v² / r

➽ a = 25 / 1

➽ a = 25 m / s²

By using Newton's second law of motion ,

➽ F = ma

➽ F = 0.05 x 25

➽ F = 1.25 N

The centripetal force acting on the stone is 1.25 N