Convert 33 Rev/min to Velocity (m/sec): Radius 1.47m

In summary, the formula for converting Rev/min to m/sec is: velocity (m/sec) = (2 x pi x radius (m)) x (Rev/min) / 60. The value of pi used in the conversion formula is 3.14159. The radius in the conversion formula is the distance from the center of rotation to the outer edge of the circle, which in this case is 1.47m. There are two unit conversions needed in the formula: converting Rev/min to Rev/sec by dividing by 60, and adding the unit of meters (m) to the final velocity result. When converting 33 Rev/min with a radius of 1.47m, the resulting velocity is approximately 2.42
  • #1
buffgilville
91
0
does anyone know how to convert 33 revolutions/minute to velocity (meter/sec) when the radius is 1.47 meters?
 
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  • #2
1 rev is 2piRadius meters.
 
  • #3
1. What distance has a given point on the rim traveled when it has made one revolution?
2. How many seconds are there in a minute?
 
  • #4
If you have a radius of 1.47 m the circumference is π2.94.

So
[tex] \frac{22 rev}{minute} \times \frac{minute}{60 seconds} \times \frac{2.94 \pi m}{rev}[/tex]
should get you your answer. (Approximately 3)
 
  • #5
Thanks a lot for all of y'alls help!
 

FAQ: Convert 33 Rev/min to Velocity (m/sec): Radius 1.47m

What is the formula for converting revolutions per minute (Rev/min) to velocity in meters per second (m/sec)?

The formula for converting Rev/min to m/sec is: velocity (m/sec) = (2 x pi x radius (m)) x (Rev/min) / 60.

What is the value of pi that should be used in the conversion formula?

The value of pi used in the conversion formula is 3.14159.

How do I determine the radius in the conversion formula?

The radius in the conversion formula is the distance from the center of rotation to the outer edge of the circle. In this case, the radius is given as 1.47m.

Are there any unit conversions I need to make in the formula?

Yes, the unit of Rev/min needs to be converted to revolutions per second (Rev/sec) by dividing by 60. The unit of meters (m) also needs to be added to the final velocity result.

What is the resulting velocity when converting 33 Rev/min with a radius of 1.47m?

Plugging in the given values into the formula, the resulting velocity is approximately 2.42 m/sec.

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