The spin drier of a washing machine revolving at 15 r.p.s slows down to 5 r.p.s., while making 50 revolutions. Find (a) angular acceleration and (b) time taken.

The spin drier of a washing machine revolving at 15 r.p.s slows down t

1.	The spin drier of a washing machine revolving at 15 r.p.s slows down to 5 r.p.s., while making 50 revolutions. Find (a) angular acceleration and (b) time taken.
Answer» SOLUTION :Here `omega_(0)=15` r.p.s `=30rads^(-1)` `omega_(0)=5`r.p.s `=10pirads^(-1)`, `theta=50xx2pi=100pi` Rad (a) Now, `OMEGA^(2)-omega_(0)^(2)=2alphatheta` `:.(10pi)^(2)-(30pi)^(2)=2alphaxx100pi` or `alpha=-4pirads^(-2)` (b) Also `omega=omega_(0)+alphat` `:.10pi=30pi+(-4PI)xxt` or `t=5s`