Question

If a 1.50 kg mass revolves at the end of a string 0.50 m long, and its tangential speed is 6.0 m/s, calculate the centripetal force.

Answer 1

I had this question myself on a quiz. The answer is 110.

Answer 2

Answer

108 N

Explanation

The centripetal force is the force that keeps an object in a circular motion.

Centripetal force= mω²r

Where m is the mass, ω is angular velocity and r is the length of the string.

But ω = v/r.           Where v is the tangential speed.

∴ F = mω²r  =  mv²/r

    F = (1.5 × 6²) / 0.5

        = $\frac{54}{0.5}$

        = 108 N