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A coin has a radius of 10 mm. How long will it take the coin to roll through the given angle measure at the given angular velocity? How far will it travel in that time? Round to the nearest tenth.

180°; 4 rev/sec

Respuesta :

Answer:

The coin travels 31.42 mm.

Step-by-step explanation:

The coin roll revolution = 4 rev / sec

Angle = 180° which is 1/2 of a revolution(360°).

The circumference of a circle is 2Ï€r.

Radius of the circle, r = 10 mm

The circumference of this coin = 20Ï€ mm.

Again 180° is half of a roll,

the circumference = [tex]\frac{20\pi }{2}[/tex] = 10Ï€

The coin travels 31.42 mm.

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