The Ferris wheel shown consists of 8 cars that each have a mass of approximately

Question

The Ferris wheel shown consists of 8 cars that each have a mass of approximately 500 kg when loaded with riders. The cars are located about the point O at a radius of 8 m. If the Ferris wheel is spinning clockwise with an angular speed of 0.25 rad/sec, determine the system's angular momentum with respect to the wheel's center O. You may treat the mass of the Ferris wheel structure as negligible. a) H_o =-64,000 k kg-m^2/s b) H_O = 64,000 k kg-m^2/s c)H_o =-8,000 k kg-m^2/s d) H_o = 8,000 k kg-m^2/s

Explanation / Answer

Angular momentum= moment of inertia * angular velocity

Moment of inertia of on ferry= Mr2

Combined moment of inertia= 8Mr2

Angular momentum= 8*500*82 *0.25 = 64,000 k Kg-m2/s

And the direction by right hand rule is in negative z direction so angular momentum= - 64,000 k Kg-m2/s

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