# Numerical - Torque transmitted by clutch, given rim diameter - Theory of Machines - 1

Q.  Calculate torque transmitted by the clutch having four shoes, which has spring force of 700 N and centrifugal force of 4000 N. Rim diameter is 560 mm and coefficient of friction is 0.3
- Published on 06 Aug 15

a. 1100 N
b. 1000 N
c. 1579 N
d. 1108.8 N

#### Discussion

• ARBAZ   -Posted on 15 Apr 19
Best
• Sravanthi   -Posted on 19 Oct 15
The torque transmitting capacity of centrifugal clutch increases as speed of shaft driving shaft increases. The difference between spring force and centrifugal force is the force required to press the shoes against the drum.

Given: Spring force = 700 N, centrifugal force = 4000 N, coefficient of friction = 0.3, number of shoes = 4, inner radius of the drum = 560 / 2 = 280 mm

Convert radius of rim from mm to m i.e 0.285 m

Formula: Frictional torque transmitting capacity of the clutch for number shoes (T) = n μ Rd (Fc - Fs)

Solution:

(T) = n μ Rd (Fc – Fs)

Substituting the given values we get,

T = 4 x 0.3 x 0.285 x (4000 – 700)

T = 1108.8 N

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