If a toy car has a mass of 0.283 kg and wheel radius of 1.5inch and is requried

Question

If a toy car has a mass of 0.283 kg and wheel radius of 1.5inch and is requried to climb a slope of 30 degrees. Assumethere is no resistance due to the contact with the surface the caris on.
How much torque is required to move the car on a flatsurface?   
How much torque is required to move the car while climbing theslope? If a toy car has a mass of 0.283 kg and wheel radius of 1.5inch and is requried to climb a slope of 30 degrees. Assumethere is no resistance due to the contact with the surface the caris on.
How much torque is required to move the car on a flatsurface?   
How much torque is required to move the car while climbing theslope?

Explanation / Answer

Given : Mass of the car ( m ) = 0.283 kg Radius ( r ) = 1.5 inch                    = 1.5 * ( 2.54 cm )                     =3.81 cm                    = 3 .81 * 10-2 m                                                     1inch = 2.54 cm g = 9.8 m/s2 Angle ( ) = 30o    a ) Torque ( ) = r F = r ( m g)                       = (3 .81 * 10-2 m) ( 0.283 kg )(9.8m/s2)                       = -------- N.m b ) Torque ( ) = r Fsin = r ( m g ) sin (30o)                       = (3 .81 * 10-2 m) ( 0.283 kg )(9.8 m/s2)sin(30o)                       = -------- N.m    Solve it    I hope it helps you                       = (3 .81 * 10-2 m) ( 0.283 kg )(9.8 m/s2)sin(30o)                       = -------- N.m    Solve it    I hope it helps you

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