Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

Calculate the maximum speed attained by a rod of radius 20 m banked at an angle of 48.9°.
Options
A 15 m/s
Correct Answer
B 93 m/s
C 44 m/s
D 23 m/s
Correct Answer

Option A is the correct answer.

Detailed Explanation

For banked curve without friction, v = √(rg tan θ) = √(20 × 9.8 × tan 48.9°) = √(20 × 9.8 × 1.15) = √(20 × 11.27) = √225.4 = 15.0 m/s.

Hint

v = √(rg tan θ) for optimum banking.

Question Info