Final answer:
The distance the load will rise when a pulley rotates 630 degrees can be calculated by determining the number of full rotations (630 divided by 360) and multiplying it by the circumference of the pulley. This assumes an ideal mechanical system.
Step-by-step explanation:
The student is asking how to find the distance a load will rise when a pulley is rotated 630 degrees. To solve this, one must understand the relationship between the angle the pulley rotates and the circumference of the pulley, as they are directly proportional in the context of an ideal mechanical system.
Step-by-step Calculation
- Identify the radius of the pulley (which is not given in the question but is necessary for the calculation).
- Calculate the circumference of the pulley using the formula C = 2πr, where C is the circumference, π is Pi (approximately 3.1416), and r is the radius.
- Understand that 360 degrees corresponds to one full rotation and, therefore, one full circumference length of the rope being pulled.
- Divide 630 degrees by 360 degrees to find the number of full rotations, which is 1.75.
- Multiply the number of rotations by the circumference of the pulley to get the distance the load will rise.
Assumptions
We assume an ideal mechanical system where there is no slippage of the rope and no energy loss due to friction or other resistive forces.