Question
An electric motor rotating a workshop grinding wheel at a rate of 95 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 2.40 rad/s2.
(a) How long does it take for the grinding wheel to stop?
(b) Through how many radians has the wheel turned during the interval found in (a)?
(a) How long does it take for the grinding wheel to stop?
(b) Through how many radians has the wheel turned during the interval found in (a)?
Answers
a. V=95rad/min * 6.28rad/rev * (1/60)min/s = 9.94rad/s.
Vf = Vo - at = 0,
9.94 - 2.4t = 0,
-2.4t = - 9.94,
t = 4.14s.
Vf = Vo - at = 0,
9.94 - 2.4t = 0,
-2.4t = - 9.94,
t = 4.14s.
b. d=9.94rad/s * 4.14s = 41.2 radians.
For part B you have to divide the 9.94 by 2 then multiply by time