Question

A fly wheel of mass 2kg and radius 20 cm has an angular speed 50 rad s^-1 when a clutch plate of mass 4 kg, radius having an angular speed 200 rad s^-1 is combined with it. Find the common speed of rotation.

• A. 125 rad s^-1
• B. 150 rad s^-1
• C. 175 rad s^-1
• D. 100 rad s^-1

Answer 1

Answer: (D)

100 rad s^-1

Answer 2

ω = $\frac { \mathrm { I } _ { 1 } \omega _ { 1 } + \mathrm { I } _ { 2 } \omega _ { 2 } } { \mathrm { I } _ { 1 } + \mathrm { I } _ { 2 } }$

= $\frac { 2 ( .2 ) ^ { 2 } ( 50 ) + 4 ( .1 ) ^ { 2 } ( 200 ) } { 2 ( .2 ) ^ { 2 } + 4 ( .1 ) ^ { 2 } }$=