Final answer:
A point on the edge of a wheel rotating at 720 revolutions per minute moves through 1440 degrees in 1/3 of a second. The calculation involves converting revolutions per minute to degrees per second and then multiplying by 1/3 to find the degree movement in that time frame.
Step-by-step explanation:
A wheel rotating at 720 revolutions per minute (rpm) means that in one minute, the wheel makes 720 complete turns. To determine how many degrees a point on the edge of the wheel moves in 1/3 of a second, we first need to find how many degrees are in one complete revolution. One revolution is equivalent to 360 degrees. Since the wheel makes 720 revolutions in 60 seconds, we calculate the degrees turned in one second by multiplying 720 by 360 and then dividing by 60: (720 rev/min) * (360 degrees/rev) / (60 seconds/min) = 4320 degrees per second. Now, to find the movement in degrees for 1/3 of a second, simply multiply the degrees per second by 1/3: 4320 degrees/s * 1/3 s = 1440 degrees. Thus, a point on the edge of the wheel moves through 1440 degrees in 1/3 of a second.