Your company, DynaRace, has been hired as consultant to a Soapbox derby team. Th

Question

Your company, DynaRace, has been hired as consultant to a Soapbox derby team. The car and driver have a maximum mass and the wheel maximum radius is R_max. Your job is to advise them on the following issue: a) Heavy wheel and light body, b) Light wheel and heavy body. Assume the wheels are considered as homogeneous disks and g = 9.81 m/s^2, h = 10 m Plot the velocity of the car as a function of the ratio r = m_wheel/M_max. Use practical values of r Advise the team on their choice Use the given format. Use Principle of Conservation of Energy Show steps and equations to solve Solve using realistic numbers Use 30kg for car and 10 kg total for tires. Use 55 kg person

Explanation / Answer

1 )

2 )

a )

moment of inretia = 1/2 M R2  

b )

work done W = Mmax g h

in downward direction

c )

KE = 1/2 Mmax v2

PE = m g h

1/2 Mmax v2 = m g h

KE = m g h - loss of energy

d )

m g h = 1/2 m v2

v = ( 2 g h )1/2

v = ( 2 X 9.8 X 10 )1/2

v = 14.00 m/sec

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