Chapter 4: Q.70 (page 109)

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

Short Answer

Expert verified

The turbine make $19012 rev$ while stopping.

Step by step solution

Given Information

$ω_{f} = 3800 rpm ω_{i} = 0$

$t = 10 \min$

Formula

$2 ∆ θ = (ω_{f} + ω_{i}) t$

Explanation

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

$ω_{f} = 3800 \frac{rev}{\min} \times \frac{1 \min}{60 s} \times \frac{2 π rad}{1 rev} = 397.73 rad / s$

Now, convert time in sec from min

$t = 10 \min \times \frac{60 s}{1 \min} = 600 s$

By putting values in formula

$θ = \frac{(ω_{f} + ω_{i}) t}{2} θ = \frac{(398 rad / s + 0 rad / s) (600 s)}{2} θ = \frac{(398 rad / s) (600 s)}{2} θ = 119400 rad$

Converting radian into revolution

$θ = 2 πN N = \frac{θ}{2 π} N = \frac{119400 rad}{(2) (3.14 rad)} N = 19012.7 rev$

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

Short Answer

Step by step solution

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Explanation

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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

Step by step solution

Given Information

Formula

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electromagnetism

Famous Physicists

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Study anywhere. Anytime. Across all devices.

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