# Calculating Torque and Power in Flywheel Energy Storage Systems

• ZzZerozZ
In summary, a flywheel is a large, massive wheel used to store energy. It can be spun up slowly and then released quickly to provide high power. An industrial flywheel with a 1.5m diameter and 270kg mass has a maximum angular velocity of 1200rpm. When a motor applies a constant torque of 53Nm, it takes 180 seconds for the flywheel to reach its top speed. The energy stored in the flywheel is 6*10^5 J. When the flywheel is disconnected from the motor and connected to a machine, it delivers half of its stored energy in 2.5 seconds. The average power delivered to the machine is 120,000 watts. To find the
ZzZerozZ

## Homework Statement

Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the wheel's energy can be released quickly to accomplish a task that demands high power. An industrial flywheel has a 1.5m diameter and a mass of 270kg . Its maximum angular velocity is 1200rmp .

a)A motor spins up the flywheel with a constant torque of 53Nm . How long does it take the flywheel to reach top speed?
Ans:180s

b) How much energy is stored in the flywheel?
Ans:6*10^5 J

c) The flywheel is disconnected from the motor and connected to a machine to which it will deliver energy. Half the energy stored in the flywheel is delivered in 2.5s . What is the average power delivered to the machine?

Ans:120000Watt

MY QUESTION IS:
d)How much torque does the flywheel exert on the machine?

## Homework Equations

k=0.5*Iw^2
torque=F*r=Ialpha
P=F*v

## The Attempt at a Solution

I try to solve with 2.5x120000= 0.5*Iw^2 then use w to find alpha and finally solve for the
Torque, but my answer is wrong... Can anyone gve me a hint??

Help!

## 1. What is the difference between torque and power in flywheels?

Torque is the measure of rotational force that a flywheel can produce, while power is the rate at which the flywheel can produce this torque. In other words, torque is the ability to rotate an object, while power is the ability to rotate it quickly.

## 2. How does the design of a flywheel affect its torque and power?

The design of a flywheel can greatly impact its torque and power. A larger and heavier flywheel will typically have more torque, while a smaller and lighter flywheel will have more power. The shape and materials used in the flywheel's construction can also influence its torque and power.

## 3. What factors influence the maximum torque and power of a flywheel?

The maximum torque and power of a flywheel are influenced by several factors, including the size, weight, and shape of the flywheel, as well as the speed at which it rotates. The materials used in the flywheel's construction, as well as the efficiency of the bearings and other components, also play a role.

## 4. Can a flywheel's torque and power be increased?

Yes, a flywheel's torque and power can be increased by changing its design, materials, or rotational speed. However, there is a limit to how much these factors can be changed before other issues, such as overheating or mechanical stress, become a problem.

## 5. How does a flywheel's torque and power affect its practical applications?

The torque and power of a flywheel are important considerations in its practical applications. A flywheel with high torque is better suited for tasks that require a lot of force, such as lifting heavy objects. On the other hand, a flywheel with high power is better for tasks that require quick rotation, such as powering a vehicle or machine.

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