Mechanical Principals - Drive belt tension and load torque

In summary: F1 = (250-200)*0.4*600^2 = 0F2 = (400-200)*0.4*600^2 = 400The equation tells us that the tension in the V-belt (F1) will decrease by 200*0.4*600 = 1200 N and the tension in the pulley (F2) will increase by 400*0.4*600 = 2400 N.
  • #1
Tiberious
73
3
Question One
What would be the effect on the following if the load torque is increased and the speed maintains constant (give reasons for your answer):

A. the tension in the tight side of the belt
B. the tension in the slack side of the belt
C. the power transmitted.

Not sure on how to solve for F1 and F2. Any ideas are appreciated.

I assume the equations we will require are,
P = (F1-F2)v,
T = (F1-F2)r
P = Tw
v = wr

C. the power transmitted.
According to the equation https://www.physicsforums.com/cid:clip_image001.pngif the angular velocity https://www.physicsforums.com/cid:clip_image002.png is kept constant and the torque is increased the power will thus increase.
 

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  • #2
You haven't described the physical setup (an image would help), and you haven't retained and used the homework formatting template, which is required for all homework help requests. In future, please retain and use the template.

Inserting equation images into the text is not working for you. I suggest that you type out the equations using ascii characters (the symbols available via the ##\Sigma## icon in the edit panel topbar can be useful there), or, using LaTeX syntax which is automatically parsed and displays nicely formatted equations. See the LaTeX Guide via the link at the bottom left corner of the edit window.
 
  • #3
Sorry for the template issues, I've been having some trouble creating the thread. The main body of information was provided for the question below

A pulley 150 mm diameter is driven directly by an electric motor at 250 revs min–1. A V-belt is used to transmit power from this pulley to a second pulley 400 mm diameter against a load of 200 Nm.

The distance between the centre of the pulleys is 600 mm, the included angle of the pulley groove = 40°, the coefficient of friction between the belt and pulley is 0.4 and the ultimate strength of the belt is 8 kN.

I've done the below if that helps.

200907-a093e0fd3602aae786d36048b8464729.jpg
 

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  • #4
Take a look at your first relevant equation. If R is constant and T changes what is the implication for F1-F2?
 

1. What are mechanical principles?

Mechanical principles refer to the fundamental laws and theories that govern motion, forces, and energy in mechanical systems. These principles are essential in understanding the behavior and operation of various mechanical components and systems.

2. What is drive belt tension?

Drive belt tension is the amount of force that is applied to a belt to keep it taut and transmit power between two rotating shafts. This tension is necessary to prevent slipping and ensure efficient power transfer.

3. How is drive belt tension measured?

Drive belt tension can be measured using a tension gauge or by applying a specific amount of force to the belt and measuring the deflection. It is important to maintain the recommended tension for optimal performance and to prevent premature wear and tear.

4. What is load torque in mechanical systems?

Load torque is the amount of rotational force that is required to overcome the resistance of a load in a mechanical system. It is influenced by factors such as the weight of the load, friction, and the speed of rotation.

5. How is load torque calculated?

Load torque can be calculated by multiplying the force applied to the load by the distance from the center of rotation to the point of force application. It can also be calculated using the equation T = F x r, where T is the load torque, F is the applied force, and r is the distance from the center of rotation to the point of force application.

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