Q6 of 63 Page 114

A park has a radius of 10 m. If a vehicle goes round it at an average speed of 18 km/hr, what should be the proper angle of banking?

Average speed, v =18km/hr

= 18 × 5/18 m/s


= 5 m/s


Radius of park, r = 10 m


Acceleration due to gravity, g = 10m/s2


We know,


The angle of banking, θ = tan-1(v2/rg)


= tan-1(52/10×10)


= tan-1(1/4)


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4

A scooter weighing 150 kg together with its rider moving at 36 km/hr is to take a turn of radius 30 m. What horizontal force on the scooter is needed to make the turn possible?

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If the horizontal force needed for the turn in the previous problem is to be supplied by the normal force by the road, what should be the proper angle of banking?

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If the road of the previous problem is horizontal (no banking), what should be the minimum friction coefficient so that a scooter going at 18 km/hr does not skid?

 8

A circular road of radius 50 m has the angle of banking equal to 300. At what speed should a vehicle go on this road 80 that the friction is not used?