Final answer:
To determine how many degrees a wheel rotates in t seconds when it rotates c times per minute, multiply the number of revolutions per minute by 6 and then by the number of seconds.
Step-by-step explanation:
If a wheel rotates c times per minute, to find out how many degrees it rotates in t seconds, we need to first convert the rotation speed from revolutions per minute to revolutions per second, and then to degrees.
There are 60 seconds in a minute, so the wheel rotates c/60 revolutions per second. Since one revolution is equal to 360 degrees, we then multiply the revolutions per second by 360 to get the degrees per second. Now we can find the amount of rotation in t seconds by multiplying the degrees per second by t.
Total rotation in degrees = (c/60) × 360 × t = 6ct degrees.