A motorcycle of mass 250 kg drives around a circle with a centripetal acceleration of 3.4 m/s2. What is the centripetal force acting on the motorcycle?

The two formulae for Centripetal force, FC = (mv^2)/r, and Centripetal acceleration, Ac = v^2/r, combine with a bit of algebraic trickery to substitute v^2/r from one formula to the other and give you a combined formula that simply reads FC = mAc (Centripetal force = mass times Centripetal Acceleration). This isn’t a formula that will be useful in very many situations, but it works with the information given in this particular problem, and allows you to substitute as follows:

FC = mAc = 250 * 3.4 = 850 N

QED.

khuranashilpa76 khuranashilpa76 · Answer 2 · 2022-07-28T10:58:48-04:00

The centripetal force performing on the motorbike is 850 newton

What is centripetal force?

A centripetal pressure is a force that makes a frame follow a curved direction.

Its path is always orthogonal to the motion of the frame and toward the fixed point of the immediate middle of the curvature of the route.
Isaac Newton described it as "a pressure by using which bodies are drawn or impelled, or in any way tend, toward a factor as to a center".
In Newtonian mechanics, gravity offers the centripetal pressure causing astronomical orbits.

centripetal force = MRalpha

= 2503.4

850 newton

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