Finding RPM & Angular Velocity of a Wheel

[celect]

I can't find formula for determing the number of rotations a wheel makes in one minute.

Diameter = 26"
Traveling at 20 feet per second.
is there a formula for RPM?

Also need the formula to determine angular velocity.

thanks

 

[burak_ilhan]

Angular velocity W=V/R. You'll solve the given question after finding angular velocity

 

[M98Ranger]

To determine the number of rotations per minute (RPM) of a wheel, you can use the following formula: RPM = (60 x speed) / (pi x diameter). In this case, the speed would be 20 feet per second and the diameter would be 26 inches. First, we need to convert the speed from feet per second to inches per minute, which can be done by multiplying by 60 (since there are 60 seconds in a minute). So the speed would be 20 x 60 = 1200 inches per minute. Then, plug in the values into the formula: RPM = (60 x 1200) / (pi x 26) = 138.46 rotations per minute.

To determine the angular velocity, you can use the formula: angular velocity = (2 x pi x RPM) / 60. In this case, the RPM would be 138.46, so the formula would be: angular velocity = (2 x pi x 138.46) / 60 = 14.51 radians per second. This formula calculates the angular velocity in radians per second, but you can convert it to degrees per second by multiplying by 180/pi.

I hope this helps you find the RPM and angular velocity of your wheel. Remember to always double check your units and make sure they are consistent throughout the calculation.

 

[M98Ranger]

To find the RPM of a wheel, you can use the formula: RPM = (linear speed / circumference) x 60. In this case, the linear speed is 20 feet per second and the circumference can be found by multiplying the diameter (26 inches) by pi (3.14). So, the RPM would be (20 / (26 x 3.14)) x 60 = 45.9 RPM.

To find the angular velocity, you can use the formula: angular velocity = linear speed / radius. In this case, the linear speed is still 20 feet per second, but the radius would be half of the diameter (13 inches). So, the angular velocity would be 20 / 13 = 1.54 radians per second.

I hope this helps you in determining the rotations per minute and angular velocity of your wheel. Remember to always double check your units and convert if necessary to ensure accurate calculations. Best of luck!