How does the radius of the pulley affect the tensions in the belt?

Open in App

Solution

Explanation:
Yes, the belt tensions are impacted by the pulley's radius. Because a bigger radius results in a greater moment, the tension difference between the pull side and the load side is smaller for a given frictional torque at the axle. Similar to this, a larger pulley turns at a narrower angle, requiring less effort to overcome the frictional torque.
The radius has no bearing on the conventional approximation since we are not concerned with the amount of energy needed to start the wheel turning. One end of the rope moving more or less than another point is the primary characteristic of pulleys. That enables you to either magnify the force or the motion, similar to how levers work.
The wheel radius can be chosen based on how well it works with the rope or cable being utilized. If the rope couldn't bend sharply enough or if there was a lot of internal friction when the rope bent sharply, something too little might cause issues.

Suggest Corrections

Similar questions

Q. An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a pulley that is rigidly attached to the flywheel as shown in figure. The flywheel is a solid disc with a mass of

80 \cdot 0 K g

and a radius

R = 0 \cdot 50 m

. It turns on a frictionless axle. Its pulley has much smaller mass and a radius of

r = 0 \cdot 20 m

. The tension

T_{u}

in the upper (taut) segment of the belt is

400 N

, and the flywheel has a clockwise angular acceleration of

2 \cdot 0 r a d / s^{2}

. The tension in the lower (slack) segment of the belt will be

Q. How does the tension vary in a rope if the rope is ideal but the pulley is neither massless nor frictionless?

in pulley diagrams where does tension act i hve confusion in this sometimes it acts upward (towards pulley) and sometimes downward (away frm pulley ) ?? how to clarify this

Q. How the friction affect the velocity of a single movable pulley

Q. If in a simple pulley there is a string going over it and both ends of the string are fastened sith 2 blocks of mass m1 and m2. The pulley will rotate in the direction of heavier mass suppose m1. Then due to torque, tension in the part of string attached to m1 will be more. But how torque affects the tension?

Join BYJU'S Learning Program