Make use of this free Pulley Calculator to find the basic parameters of pulley system easily. Just enter transmitting power, diameters, RPM of pulleys in the input fields and press on the calculate button to get the pulley velocity, belt length, torque and belt tension as output instantly.
Ex: 10, 167, 48, 34.5 or 90
Pulley Calculator: Students who are struggling to solve the physics questions can stay on this page. Here we are giving steps to compute the pulley system parameters such as torque, belt length, speed, RPM and belt tension. You can also get the result instantly by using our free online calculator tool. Obtain the simple formulas to solve the questions in the following sections. Also, check out the solved example questions.
Go through the below-provided steps to get help with solving pully speed, RPM, torque, belt length and belt tension manually. You will find a procedure that is quite easy with a detailed explanation.
A pulley system has two pulleys of different diameters and a belt loop joining those pulleys. Out of the two pulleys, one pulley is the driver pulley which causes rotation with the help of transmitting power, another pulley is the driven pulley and it rotates due to the force transmitted through the belt. Overall pulley is a simple machine. The important parameters of the pulley are diameter, RPM (revolutions per minute) or velocity.
Here, you can check the important formulas to calculate the diameter, RPM of each pulley, belt tension, torque, and belt length.
1. Diameter and RPM of Pulley
The product of the diameter of the speed of one pulley is equal to another pulley.
d₁ * n₁ = d₂ * n₂
2. Belt Velocity or RPM
It is the speed of the belt.
V = (π * d₁ * n₁)/60
3. Belt Length
L = (π * d₁/2) + (π * d₂/2 + 2D + ((d₁ - d₂)²/4D)
F = P / V
T = P / (2 * π * n/60)
d₁ is the diameter of the driver pulley
d₂ is the diameter of the driven pulley
n₁ is the angular velocity of the driver pulley
n₂ is the angular velocity of the driven pulley
V is the belt velocity
L is the length of the beltD is the distance between the centres of two pulleys
P is the transmitting power
F is the belt tension
T is the torque
n is the angular velocity of each pulley
Question: A pulley system has 1000 RPM, 1050 RPM and their angular velocities and 0.5 m, 0.3 m as diameters of driver pulley and driven pulley. The transmitting power and distance between their centres are 1500 W and 1 m. Find belt speed, belt length, torque and tension.
Diameter of the driver pulley d₁ = 0.5 m
Diameter of the driven pulley d₂ = 0.3 m
Angular velocity of the driver pulley n₁ = 1000 RPM
Angular velocity of the driven pulley n₂ = 1050 RPM
Transmitting power P = 1500 W
Distance between the centres of two pulleys D = 1 m
Belt Velocity V = (π * d₁ * n₁)/60
V = (π * 0.5 * 1000)/60
Belt Length L = (π * d₁/2) + (π * d₂/2 + 2D + ((d₁ - d₂)²/4D)
= (π * 0.5/2) + (π * 0.3/2 + 2(1) + ((0.5 - 0.3)²/4(1))
= 0.785 + 0.471 + 2 + 0.04/4
= 1.256 + 0.01
Tension F = P / V
Torque of driver pulley T = P / (2 * π * n₁/60)
= 1500/(2 * π * 1000/60)
= 1500/(2 * π * 1000/60)
Torque of driven pulley T = P / (2 * π * n₂/60)
= 1500/(2 * π * 1050/60)
Therefore, belt speed is 26.179 m/s, belt length is 1.266 m tension is 57.29 N, torque is 14.32 Nm, 13.64 Nm.
Take the help regarding several physics concepts that seemed difficult to you using the online tools available at Physicscalc.Com and clear all your queries.
1. What are the types of pulleys?
The four different types of pulleys are fixed pulley, movable pulley, compound pulley, block and tackle pulley.
2. Mention the parameters to form a pulley?
To calculate the force effect on the body attached to the pulley, there is no need of taking the mass of the pulley. When you are applying the law of conservation of energy, then no need to worry about the pulley and rope energy.
3. Give examples of pulley system.
Some of the examples of pulley system are along the lines:
Several pulley systems are used in elevators to take it up and bring it down.
Pulley is used in cranes of construction sites to lift and place heavy materials.
These are used in various exercise equipment to function.
4. What are the formulas to calculate the parameters of a pulley?
Belt velocity is V = (π * d₁ * n₁)/60
Belt tension is F = P / V
Belt length is L = (π * d₁/2) + (π * d₂/2 + 2D + ((d₁ - d₂)²/4D)
Torque is T = P / (2 * π * n/60)