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Mechanical Engineering · Q248

Automobile Engineering

Engineering and GATE · Mechanical Engineering · question 248

Q248

The air resistance to a car at 20 kmph is R. The air resistance at 40 kmph will be

A.
R
B.
2R
C.
4R
Answer
D.
4R2

Answer: Option C

Solution

Answer: Option C
Solution:
R = K × A × V2 when vehicle speed is about 20 km/hr
Where K = Co-efficient of air resistance
A = Projected area of vehicle
V = Vehicle speed in km/hr
When vehicle speed is about 40 km/hr, speed is doubled so we can write V = 2V
Therefore, R = K × A × (2V)2
R = K × A × 4V2
R = 4K × A × V2
R = 4R