How many rpm's will a 2'' Nd45 sphere do spinning at 340.29 m/s.
Please help me!! =(
To determine the number of revolutions per minute (rpm) that a sphere will make when spinning at a certain speed, you need to know the radius of the sphere, not its diameter. To convert from diameter to radius, you divide the diameter by 2.
In this case, since the diameter of the sphere is given as 2 inches, the radius would be 1 inch (2 inches divided by 2). However, it's important to convert the radius to a standard unit. Let's convert it to meters.
1 inch is equal to 0.0254 meters, so the radius of the sphere is 0.0254 meters.
Now, to calculate the rpm, you need to convert the angular speed from m/s to revolutions per minute. Angular speed is given by the formula:
Angular Speed (in radians per second) = Linear Speed (in meters per second) / Radius (in meters)
So, in this case, the angular speed would be:
Angular Speed = 340.29 m/s / 0.0254 m = 13400.39 rad/s
Now, to convert the angular speed from radians per second to revolutions per minute, you need to remember that 1 revolution is equal to 2π radians. Also, 1 minute is equal to 60 seconds.
So, the number of revolutions per minute (rpm) is calculated as follows:
rpm = (Angular Speed / (2π)) * 60 = (13400.39 rad/s / (2π)) * 60
Calculating this would give you the number of rpm that the sphere will make when spinning at 340.29 m/s.