Answer :
Final answer:
A point on the edge of a wheel rotating at 900 revolutions per minute moves through 1800 degrees in one third of a second, determined by converting the rotational speed to degrees per second and then calculating the displacement for the specified time.
Explanation:
The question involves finding the angular displacement of a point on the edge of a wheel that is rotating 900 times per minute and determining how many degrees it moves in one third of a second.
To answer this, we first convert revolutions per minute to degrees per second. Since one revolution is equal to 360 degrees, 900 revolutions per minute is the same as 900 × 360 degrees per minute. To convert to seconds, we divide by 60 seconds (the number of seconds in one minute), thus:
900 rev/min × 360°/rev = 324000 degrees/min
324000 degrees/min ÷ 60 sec/min = 5400 degrees/sec
So a point on the edge of the wheel moves at 5400 degrees per second. To find out how many degrees the point moves in one third of a second, simply multiply the angular speed by the time
5400 degrees/sec × 1/3 sec = 1800 degrees
Therefore, the point on the edge of the wheel moves through 1800 degrees in one third of a second.
