An electric motor rotating a workshop grinding wheel at a rate of 9.80 101 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 2.00 rad/s2.

Question

(a) How long does it take for the grinding wheel to stop?
s

(b) Through how many radians has the wheel turned during the interval found in (a)?
rad

Answer 1

n₀= 9.80 101 rev/min =….rev/s
ε=2 rad/s²
2•π•n=2•π•n₀ - ε•t,
since n=0, 2•π•n₀ - ε•t=0,
t=2•π•n₀/ ε=…
φ=2•π•n₀•t- ε•t²/2=....