If a wheel turning at a constant rate completes 100 revolutions in 10 sec what is its angular speed?
100 revolutions in 10 secs,
10 revolutions/sec,
1 revolution=2.(pi) rad/sec
10 revolutions=20.(pi) rad/sec
20.(pi) rad/sec=63 rad/sec
Angular speed= 63 rad/sec!
63
Well, if the wheel completes 100 revolutions in 10 seconds, then it's quite the eager wheel, spinning at a speed that would make even the Flash dizzy! To find its angular speed, we just have to divide the number of revolutions by the time it takes. So, 100 revolutions divided by 10 seconds gives us an angular speed of 10 revolutions per second. That wheel is definitely going for the gold medal in spinning!
To find the angular speed, we need to use the formula:
Angular speed = (Total number of revolutions) / (Total time taken)
Given that the wheel completes 100 revolutions in 10 seconds, we can substitute these values into the formula:
Angular speed = 100 revolutions / 10 sec
Simplifying this equation, we find:
Angular speed = 10 revolutions/sec
Therefore, the angular speed of the wheel is 10 revolutions per second.
To find the angular speed, we need to determine the number of radians the wheel rotates in a given time interval.
One revolution is equal to 2π radians. Therefore, if the wheel completes 100 revolutions, it would cover a total distance of 100 × 2π radians.
To find the angular speed, we divide the total distance covered by the time taken. In this case, the time taken is 10 seconds.
Thus, the angular speed of the wheel can be calculated as follows:
Angular speed = (Total distance covered) / (Time taken)
= (100 × 2π radians) / (10 seconds)
= 20π radians/second
Therefore, the angular speed of the wheel is 20π radians/second.