Question
Download Solution PDFThe rain is falling vertically with a speed of 15 ms-1. The wind started blowing after some time with a speed of 20 ms-1 in the east-west direction. What is the magnitude of the resultant velocity?
Answer (Detailed Solution Below)
Detailed Solution
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CONCEPT:
- The rain man problem is based on the triangle or parallelogram law of vector addition.
Triangle law of vector addition:
- If two vectors can be represented both in magnitude and direction by the two sides of a triangle taken in the same order, then their resultant is represented completely, both in magnitude and direction, by the third side of the triangle taken in the opposite order"
- Vectors can be added geometrically by the vector law of addition.
Vector Law of Addition:
The resultant R is given as
R=
CALCULATION:
The velocity of rain,
The velocity of wind,
According to triangle Law of Vector Addition:
The resultant R is given as
R =
- Hence the magnitude of the resultant velocity
is 25 ms-1
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