A coin had 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

Step-by-step explanation:

The given angle is 180°, the given velocity is 4 revolutions per second.

We know that the circumference of a circle is , one revolution is equal to 360°, which means the given angle represents half of a revolution.

Also, we know by given that the radius of the coin is 10 mm, which give a length of

If the whole length of the coin is , then it would take to travel 180°.

Assuming that it's a constant movement, we have

Where ,

Therefore, it would take 0.125 seconds to travel 180° with a velocity of 4 revolutions per second.

To know how far travels during this time, we use the following formula

Therefore, it would travel 1800 millimeters in 0.125 seconds, which requires a rotation of 180° at 4 revolutions per second.

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.