Question

How do i work this out i am lost on how to do it?

If an object moves in uniform circular motion in a circle of radius R = 1.0 meter, and the object takes 4.0 seconds to complete ten revolutions, calculate the centripetal acceleration.

Answer 1

@YanaSidlinskiy

Answer 2

Peroidic time T = 0.4 s
ω = 2π/T
ω² = 4π²/0.4² = 246.7 (rad/s)²
centripetal accel. = Rω² = 1.0*246.7 .. .. ►246.7 m/s²

Answer 3

A different way...
10 revolutions / 4 secs = 2.5 rps

2.5 x 2pi = 15.708 rad/s

omega x radius = tangential velocity m/s

15.708 x 1 = 15.708 m/s

centripetal acceleration = v^2/r

15.708^2/1 = 246.74 m/s^2

Answer 4

Okay thank you!

Answer 5

Your Welcome :D