The large diameter and face of the discs of a multiple disc clutch are 255 mm and 25 mm respectively. The helical compre

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The large diameter and face of the discs of a multiple disc
clutch are 255 mm and 25 mm respectively. The helical compression
spring used to engage the clutch has 9.5 effective coils of 10 mm
diameter steel wire. The outside coil diameter is 80 mm. The free
length of the spring is 185 mm, but when in place with the clutch
engaged, its length is 130 mm. Assume that there are 10 pairs of
contact surface; the motor runs at 1200 rpm; and the coefficient of
friction on the contact surface as 0.15. Let the spring modulus of
rigidity be 80 GN/m2, determine the power in kW that the clutch can
transmit.
a.48.8
b.24.4
c.52.4
d.36.6