Diamond Tools and its Features

max v on: November 22nd, 2009 at 00:05

(a)
The linear speed is v=rω
where ω is the angular speed, in radians/second and r is the distance from the axis of rotation in, meters.
Therefore, ω=1650 rev/min * (1 min/60 s) * (2π rad/rev) = 173 rad/s
r=. 35 m
v=. 35 m * 173 rad/s = 60. 5 m/s.

(b) Because the angular speed is not changing, the linear speed also remains unchanged. This is a case of uniform circular motion. To find the acceleration in these cases, you take a=v^2/r. This gives:
a = (60. 5 m/s)^2/. 35 m = (3660 m^2/s^2)/. 35 m = 10500 m/s^2