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What is the ideal speed to take a 100m radius curve banked at 20.0โˆ˜ angle?

Short Answer

Expert verified

The ideal speed is 18.9m/s.

Step by step solution

01

Definition of Banking of road

To supply the centre gravity force required for a vehicle to perform a safe turn, the outside edge of curved roadways is raised above the inner edge. This is referred to as road banking.

02

Calculating Ideal speed 

The ideal speed for a banked road is,

v=Rgtanโกฮธ

Here, R is the radius of the turn, g is the acceleration due to gravity, and ฮธ is the ideal banking angle.

Substitute 100m for R, 9.8m/s2 for g, and 20.0โˆ˜ for ฮธ,

v=(100m)ร—(9.8m/s2)ร—tanโก(20.0โˆ˜)=18.9m/s

Hence, the ideal speed is 18.9m/s.

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