What is the angular speed of a coil rotating at 300 revolutions per minute?*1 point10π rad/sec20π rad/sec30π rad/sec40π rad/sec
Question
What is the angular speed of a coil rotating at 300 revolutions per minute?*1 point10π rad/sec20π rad/sec30π rad/sec40π rad/sec
Solution 1
To find the angular speed, we first need to convert revolutions per minute to revolutions per second because the standard unit of angular speed is radians per second.
Given that the coil is rotating at 300 revolutions per minute, we can convert this to revolutions per second by dividing by 60 (since there are 60 seconds in a minute):
300 revolutions/minute * 1 minute/60 seconds = 5 revolutions/second
Next, we need to convert revolutions to radians. Since one revolution is equal to 2π radians, we multiply the number of revolutions by 2π:
5 revolutions/second * 2π radians/revolution = 10π radians/second
So, the angular speed of the coil is 10π rad/sec.
Solution 2
To find the angular speed in radians per second, we first need to convert the revolutions per minute to revolutions per second.
Step 1: Convert revolutions per minute to revolutions per second 300 revolutions per minute = 300/60 = 5 revolutions per second
Step 2: Convert revolutions per second to radians per second Since one revolution is equal to 2π radians, we multiply the revolutions per second by 2π to get the angular speed in radians per second. So, 5 revolutions per second = 5 * 2π = 10π rad/sec
Therefore, the angular speed of a coil rotating at 300 revolutions per minute is 10π rad/sec.
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