a bus moving with a speed of 36 km per hour negotiates a level circular road of radius 10 M what should be the coefficient of friction so that the bus may not skid off
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The question states level circular road of radius 10 i.e. accelaration in tangential direction which is now =2 m/s^2.
Since a body in circular path has two components of acceleration, the radial (towards centre) and tangential.
For the radial acceleration: A(r) = V^2÷R = 30^2÷500 = 900÷500 = 1.8 rad/sec^2.
These two Vectors have an angle of 90° b/w them, the net Vectorial acceleration becomes: (A(t)^2 +A(r)^2)^1÷2 (because cos 90°=0) =√7.24 ≈ 2.7 m/s^2
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Answer :
- The question states level circular road of radius 10 i.e. accelaration in tangential direction which is now =2 m/s^2.
- Since a body in circular path has two components of acceleration, the radial (towards centre) and tangential.
- For the radial acceleration: A(r) = V^2÷R = 30^2÷500 = 900÷500 = 1.8 rad/sec^2.
- These two Vectors have an angle of 90° b/w them, the net Vectorial acceleration becomes: (A(t)^2 +A(r)^2)^1÷2 (because cos 90°=0) =√7.24 ≈ 2.7 m/s^2
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