Engineering Mechanics - GATE practice papers - Mechanical for Q. 352

Q.  Two velocities are moving in such direction that the angle between them is 30°. The two velocities are having magnitudes 15 m/s and 25 m/s respectively. Calculate the magnitude of resultant velocity. (Marks: 02)
- Published on 19 Oct 15

a. 30.47 m/s
b. 35 m/s
c. 38.72 m/s
d. none of the above

ANSWER: 38.72 m/s
 
By using parallelogram law,

w2 =u2 + v2 + 2uv cos(a)

Where,
w = magnitude of resultant velocity
u = magnitude of first velocity
v = magnitude of second velocity
a = angle between first and second velocity

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