wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Rain is falling vertically with a speed of 35 m/s. Wind starts blowing after some time with a speed of 12 m/s from east to west direction. For a boy waiting at a bus stop, the velocity of the rain appears to be

A
35 m/s at an angle of tan1(0.343) with the vertical.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
37 m/s at an angle of tan1(2.92) with the vertical.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
37 m/s at an angle of tan1(0.343) with the vertical.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
35 m/s at an angle of tan1(2.92) with the vertical.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 37 m/s at an angle of tan1(0.343) with the vertical.
The velocity of the rain and the wind are represented by the vectors vr and vw in the figure and are in the direction specified by the problem.


Using the rule of vector addition, we see that the resultant of vr and vw is R as shown in the figure, and the angle between them is 90.
Thus, the magnitude of R is
R=vr2+vw2=352+122=37 m/s

The direction θ that R makes with the vertical is given by
tanθ=vwvr=1235=0.343
θ=tan1(0.343)
Therefore, the rain will appear to come at an angle of tan1(0.343) with the vertical for the boy.

flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Operations
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon