angular acceleration

Classical Mechanics Level 2

A particle travels in circular path of radius 20 cm at a speed that is uniformly increasing.
if the speed changes from 5m/s to 6m/s in 2 sec. find the angular acceleration??


The answer is 2.5.

Jai Gupta by Jai Gupta , 22, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

We know, a T = v − v 0 t = 6 − 5 2 = 0.5 m / s 2 \displaystyle a_{T} = \frac{v - v_{0}}{t} = \frac{6-5}{2} = 0.5 m/s^{2}

Hence, α = a T r = 0.5 1 5 = 2.5 m / s 2 \alpha = \frac{a_{T}}{r} = \frac{0.5}{\frac{1}{5}} = \boxed{2.5 m/s^{2}}

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Venture Hi
Sep 18, 2014

Angular acceleration=Tangential acceleration/radius= [(6-5)ms^2/2sec]/20cm = (1/2)/(20/100)= 2.5 rad/sec^2

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...