With what centripetal acceleration does a material point move along a circle with a radius of 80 cm

With what centripetal acceleration does a material point move along a circle with a radius of 80 cm at a speed of 14.4 km / h?

Initial data: R (radius of the circle along which the material point moves) = 80 cm; V (linear speed of movement of a material point) = 14.4 km / h.

SI system: R = 80 cm = 0.8 m; V = 14.4 km / h = 14.4 / 3.6 m / s = 4 m / s.

The centripetal acceleration with which a material point moves can be calculated by the formula: an = V ^ 2 / R.

Let’s perform the calculation: an = 4 ^ 2 / 0.8 = 16 / 0.8 = 20 m / s ^ 2.

Answer: A material point moves in a circle with a centripetal acceleration of 20 m / s ^ 2.