Request for help on a trigonometry question

[Edena_of_Neith]

Hey there folks.
My niece is currently taking trigonometry. And she has a question that is stumping her. None of us could help. Can any of you answer the question, and explain why the answer is what it is?
I'd be very appreciative of your help. Thanks to anyone who does answer.

A hampster ran on a circular wheel of radius 4 inches for 5 minutes. The wheel rotated at a rate of 39.6 radians per minute. How many inches did a point on the rim of the wheel move in this time?

That's the question. Does anyone know the answer, and the why of the answer?

Edena_of_Neith

 

[PeterDonis]

When a point on a rotating circle (such as the rim of a circular wheel) moves through an angle of one radian, it has moved through a distance equal to the radius of the circle. (That's the definition of the radian as a unit of angular measure.) That fact should be enough for you to find the answer.

 

[Edena_of_Neith]

(sighs)

 

[Doomhawk]

The hamster is running on the wheel for 5 minutes. The wheel is rotated at a speed of 39.6 radians per minute. This means that in 5 minutes, the wheel rotates through a total of 198 radians.
One radian is a length equal to the radius of the circle (or in this case, of the wheel). 198 radians is therefore 198 times the radius of the wheel, or 198*4 inches. This works out to 792 inches, or 66 feet.

 

[Edena_of_Neith]

Thank you.

 

[Altamont Ravenard]

nm.