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Chapter 4: Q.70 (page 109)

A turbine is spinning at 3800rpm. Friction in the bearings is so low that it takes 10min to coast to a stop. How many revolutions does the turbine make while stopping?

Short Answer

Expert verified

The turbine make19012rev while stopping.

Step by step solution

01

Given Information

蝇f=3800rpm蝇i=0

t=10min

02

Formula

2鈭�胃=(蝇f+蝇i)t

03

Explanation

First convert angular velocity from revolution per minute to radian per second:

蝇f=3800revmin脳1min60s脳2蟺rad1rev=397.73rad/s

Now, convert time in sec from min

t=10min脳60s1min=600s

By putting values in formula

胃=(蝇f+蝇i)t2胃=(398rad/s+0rad/s)(600s)2胃=(398rad/s)(600s)2胃=119400rad

Converting radian into revolution

胃=2蟺狈N=胃2蟺N=119400rad(2)(3.14rad)N=19012.7rev

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