Question

A body of mass 0.1kg performs a uniform circular motion with a speed of 30m/s. if the radius of the circle is 3m, find the centripetal force acting on the body

Answer 1

Concept:

The centripetal force always moves in the opposite direction of the body, towards the fixed point of the path's instantaneous centre of curvature. The centripetal force of an item moving on a circular path always works towards the centre of the circle, according to Newton's second law of motion.

Find:

The centripetal force acting on the body.

Solution:

$F_c=\frac{mv^2}{r}\\ F_c=\frac{0.1*(30)^2}{3}\\ F_c=30N$

Hence, the centripetal force is $30N$.

#SPJ3

Answer 2

Step 1: Given data

Mass of body, $m=0.1kg$

speed of body, $v=30m/s$

radius of circle, $r=3m$

centripetal force, $F_{c}=?$

Step 2: Calculating the centripetal force

We know that, centripetal force is calculated using,

$F_{c}=\frac{mv^{2} }{r}$

$F_{c}=\frac{0.1\times 30^{2} }{3}=30N$

Hence, the centripetal force acting on the body is $30N$.

#SPJ2