A car of mass 8000kg moves in a circular path of radius 100m with a linear velocity of 50m/s.Calculate the i) Angular velocity ii) Angle the tyre makes with the ground iii) condition for skidding for u(coefficient of friction)= 0.5?
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Expert's answer
2022-03-06T18:06:02-0500
Explanations & Calculations
a)
ω=rv2=100m(50ms−1)2=25rads−1
b)
RcosθRsinθtanθθ=rmv2=mg=v2rg=tan−1[502100×9.8] You can try getting the answer
c) The maximum possible speeding without skidding is when the maximum friction from the ground is possible. Apply F=ma towards the centre.
FmaxμRμmgvmax=mamax=mrvmax2=rmvmax2=μgr=0.5×9.8×100 Give it a try.
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