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julsineya [31]
3 years ago
10

What is the angular velocity of a 75.0-cm-diameter tire on an automobile traveling at 90.0 km/h?

Physics
1 answer:
vladimir1956 [14]3 years ago
3 0

Answer:

Angular velocity of tire \approx 66.67\ s^{-1}

Explanation:

Given:

Diameter of tire of an automobile =75.0 cm

Linear velocity of automobile = 90.0 km/hr

To find angular velocity of tire.

Diameter of tire in meters = 75\ cm \times \frac{1\ m}{100\ cm}= 0.75\ m

Radius of tire = \frac{1}{2}\times diameter=\frac{1}{2}\times 0.75\ m = 0.375\ m

Linear velocity in meters per second = \frac{90\ km}{1\ hr}\times \frac{1000\ m}{1\ km}\times \frac{1\ hr}{3600\ s}= 25\ m/s

Angular velocity \omega is given by :

\omega=\frac{v}{r}

where v represents linear velocity and r represents radius of tire.

Plugging in values.

\omega=\frac{25\ m/s}{0.375\ m}

∴ \omega=66.666 s^{-1}\approx 66.67\ s^{-1} (Answer)

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