The 7 inch diameter drive drum of a belt conveyor is turning at 130 rpm.
What is the belt speed (ft/min) if there is no slip between the belt and drum?
What are the steps to figures this out?
Thank you for your help.
To determine the belt speed (ft/min) when there is no slip between the belt and the drive drum, you can follow these steps:
Step 1: Convert the diameter of the drive drum from inches to feet.
- The diameter of the drive drum is given as 7 inches.
- To convert inches to feet, divide the diameter by 12 (since there are 12 inches in a foot).
- So, the diameter of the drive drum in feet is 7 inches / 12 = 0.583 feet.
Step 2: Determine the circumference of the drive drum.
- The circumference of a circle is calculated by multiplying its diameter by π (pi).
- So, the circumference of the drive drum is 0.583 feet x π (approximately 3.1416) = 1.831 feet.
Step 3: Calculate the distance covered by the belt in one revolution of the drive drum.
- Since the circumference of the drive drum represents the distance the belt covers in one revolution, it means the belt travels 1.831 feet in one revolution.
Step 4: Determine the belt speed in ft/min.
- The belt speed can be calculated by multiplying the distance traveled in one revolution by the number of revolutions per minute.
- In this case, the distance traveled in one revolution is 1.831 feet, and the drive drum is turning at 130 rpm.
- So, the belt speed in ft/min is 1.831 feet x 130 rpm = 238.03 ft/min.
Thus, the belt speed (ft/min) when there is no slip between the belt and the drive drum is approximately 238.03 ft/min.