Consider the centrifugal clutch above that comprises of four ‘shoes’ symmetrically attached to the ‘spider’.  Each shoe with its friction lining has a mass of 275 grams and is attached by means of a linear mechanical spring with a stiffness value of 7.5 kN/m.  The coefficient of friction of the material attached to the shoes is 0.35.  The centre of mass of each of the shoes is at a radius of 95 mm from the shaft centres in the rest position shown above and has a clearance distance of 9 mm to the outer drum.  The outer drum has a wall thickness of 4 mm.    Question 1 a. Determine the engagement speed of the centrifugal clutch.  You should provide your answer in RPM (revolutions per minute) and rounded to the nearest whole value of RPM.  b. Calculate the radial force acting on the clutch face when the driving shaft is rotating at a speed of 550 RPM.  c. At the driving shaft speed of 550 RPM, what will be the value of torque transmitted to the driven shaft?    Please not all equations used

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.76P: The clutch described in Prob. 7.75 is to transmit a torque of 120lbft when the total spring force...
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Consider the centrifugal clutch above that comprises of four ‘shoes’ symmetrically attached to the ‘spider’.  Each shoe with its friction lining has a mass of 275 grams and is attached by means of a linear mechanical spring with a stiffness value of 7.5 kN/m.  The coefficient of friction of the material attached to the shoes is 0.35.  The centre of mass of each of the shoes is at a radius of 95 mm from the shaft centres in the rest position shown above and has a clearance distance of 9 mm to the outer drum.  The outer drum has a wall thickness of 4 mm. 
 

Question 1

a. Determine the engagement speed of the centrifugal clutch.  You should provide your answer in RPM (revolutions per minute) and rounded to the nearest whole value of RPM. 

b. Calculate the radial force acting on the clutch face when the driving shaft is rotating at a speed of 550 RPM. 

c. At the driving shaft speed of 550 RPM, what will be the value of torque transmitted to the driven shaft? 

 

Please not all equations used

Cover
plate
Spider
Driving
shaft
Ferrodo
lining
Driven
shaft
Spider
Spring
W
Centrifugal clutch.
M+ W
Shoes
w
Consider the centrifugal clutch above that comprises of four 'shoes' symmetrically
attached to the 'spider'. Each shoe with its friction lining has a mass of 275 grams
and is attached by means of a linear mechanical spring with a stiffness value of 7.5
kN/m. The coefficient of friction of the material attached to the shoes is 0.35. The
centre of mass of each of the shoes is at a radius of 95 mm from the shaft centres in
the rest position shown above and has a clearance distance of 9 mm to the outer
drum. The outer drum has a wall thickness of 4 mm.
Transcribed Image Text:Cover plate Spider Driving shaft Ferrodo lining Driven shaft Spider Spring W Centrifugal clutch. M+ W Shoes w Consider the centrifugal clutch above that comprises of four 'shoes' symmetrically attached to the 'spider'. Each shoe with its friction lining has a mass of 275 grams and is attached by means of a linear mechanical spring with a stiffness value of 7.5 kN/m. The coefficient of friction of the material attached to the shoes is 0.35. The centre of mass of each of the shoes is at a radius of 95 mm from the shaft centres in the rest position shown above and has a clearance distance of 9 mm to the outer drum. The outer drum has a wall thickness of 4 mm.
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to calculate the radial force acting upon the clutch face, shouldnt the force of 1 shoes be calculated, multiplied by 4 then subtracted the spring stiffness which is also multiplied by 4?

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