Answer :
Final answer:
A point on the edge of a wheel rotating at 900 rpm moves through 1800 degrees in 1/3 second after converting the rotation rate to degrees per second and multiplying by the time interval.
Explanation:
To calculate the degrees that a point on the edge of a wheel moves in 1/3 second when the wheel is rotating at 900 times per minute, we need to first convert the rotation rate to degrees per second and then multiply by the time interval. First, we convert the revolutions per minute (rpm) to degrees per second. There are 360 degrees in a complete revolution and 60 seconds in a minute.
So, the wheel's rotation rate in degrees per second is:
- 900 rpm × 360 degrees/revolution ÷ 60 seconds/minute = 5400 degrees/second
Next, we multiply the rotation rate in degrees per second by the time interval of 1/3 second:
- 5400 degrees/second × 1/3 second = 1800 degrees.
Therefore, a point on the edge of the wheel moves through 1800 degrees in 1/3 second.
