what is the angular velocity of 45 revolution per minute
Question
what is the angular velocity of 45 revolution per minute
Solution
To convert revolutions per minute to angular velocity, we need to use the formula:
ω = 2π * (revolutions per minute) / 60
where:
- ω is the angular velocity in radians per second,
- 2π is the number of radians in one revolution,
- 60 is the number of seconds in one minute.
Step 1: Substitute the given value into the formula:
ω = 2π * 45 / 60
Step 2: Simplify the equation:
ω = 2π * 0.75
Step 3: Calculate the result:
ω = 1.5π rad/s
So, the angular velocity of 45 revolutions per minute is 1.5π rad/s.
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