Question

A rock against the frictionless inside wall of a cone with a radius of 2 meters. It moves with the cone with a constant speed of 6m/s. The rock does not slide up or down in the cone as it rotates what is the centripetal acceleration of the rock

Answer 1

Centripetal acceleration of the rock is 18 m/s²

Step-by-step explanation:

According to the question,

Radius (r) of frictionless wall inside cone is 2 meters

Rock moves with a constant speed (v)of 6 m/s

As rock does not slide up or down in the cone as it rotates so it's centripetal acceleration can be calculated as follows:

`\rm \implies a_c = (v^2)/(r) \\ \\ \rm \implies a_c = \frac{ {6}^(2) }{2} \\ \\ \rm \implies a_c = (36)/(2) \\ \\ \rm \implies a_c = 18 \: m {s}^( - 2)`