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NeX [460]
4 years ago
9

The blades on a fan rotate at 750 revolutions per minute and have a diameter of 16 inches. Find the angular velocity of a fan bl

ade and the linear speed of a point on the tip of the fan blade. Use 3.1416 as the value of pi.
Physics
1 answer:
Vanyuwa [196]4 years ago
3 0

Answer:

Angular velocity \omega = 78.5 \frac{rad}{s}

The value of liner speed of a point on the tip of the fan blade V = 16 \frac{m}{s}

Explanation:

Given data

N = 750 R.P.M

D = 16 in = 0.4064 m

R = 0.2032 m

Angular velocity of a fan blade is given by

\omega = \frac{2 \pi N}{60}

Put all the values in above formula we get

\omega = \frac{2 (3.14)(750)}{60}

\omega = 78.5 \frac{rad}{s}

The linear speed of a point on the tip of the fan blade is given by

V = R \omega

V = 0.2032 × 78.5

V = 16 \frac{m}{s}

This is the value of liner speed.

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