Physics
24.02.2021 14:10
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Power of automobiles are related in terms of .​

Power of automobiles are related in terms of .​
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dakotagorski05
dakotagorski05
4,4(94 marks)

Part a)

Angular speed of the turbine is given as

\omega = \frac{\pi}{3} rad/s

Part b)

Linear speed of the tip is given as

v = 52.35 m/s

Part c)

Angular acceleration is given as

\alpha = -1.75 \times 10^{-3} rad/s^2

Explanation:

As we know that the frequency of rotation of blade is given as

f = 10 rpm

Part a)

Angular frequency is given as

\omega = 2\pi f

\omega = 2\pi(\frac{10}{60})

\omega = \frac{\pi}{3} rad/s

Part b)

Linear speed of the tip of the blade is given as

v = r\omega

v = 50(\frac{\pi}{3})

v = 52.35 m/s

Part c)

As it comes to stop after t = 10 min

so by equation of kinematics we will have

\omega = \omega_0 + \alpha t

0 = \frac{\pi}{3} + \alpha (600)

\alpha = -1.75 \times 10^{-3} rad/s^2

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