Algebra 2 HW Help

Question

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.

 

540°; 3 rev/sec

The coin will take ___ sec to roll 540° and travels approximately  mm.

Answer 1

Because the coin rolls at 3 rev/s, this equates to 3*360 degrees/s. So,

540 degrees = (3*360 degrees /sec)*t sec. Solving gives

t = 0.5 sec.

Now, to figure the distance, we multiply the angle traveled (540 degrees) by the radius of the coin.

So, distance = 540*(pi/180)*10 mm = 94.2 mm.

Notice that when calculating distance, we have to convert angles to radians. That's where the pi/180 factor comes in.