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t Banked Frictionless Curve, and Hlat Curve A car of mass M- 800 kg traveling at 65.0 km/hour enters a banked turn covered with ice. The road is banked at an angle θ, and there is no friction between the road and the cars tires as shown in (Figure 1). Use g 9.80 m/s throughout this problem. Figure < 1of1 θ. s Previous What is the radius of the turn of the angle is 20 degrees. ( assuming the car continues in uniform circular motion around the turn?
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Answer #1

We know

Fnet = Fcentripetal

mg tan θ= mv2/r

==> g tan θ= v2/r

==> Radius r = v2/g tan θ

Velocity v = 65 km/hr = 65 x 5/18 m/s = 18.05 m/s

So radius r = 18.052/ (9.8 x tan 20°)

= 325.80/3.56

= 91.51 metres

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