Chailenge!
the safe speed v m/s at which a train can round a curve of radius rm is directly proportional to
square root of r. If the safe speed for radius 121 m is 22 m/s, calculate the radius if the safe speed is
28 m/s.
(a) 56 m (b) 3136 m
(c) 196 m
(d) 169 m
Answers
The radius if the safe speed is 28 m/s is 196 m.
Step-by-step explanation:
Let’s assume that the safe speeds and the radius in both the cases be “v₁” m/s & “v₂” m/s and “r₁” m & “r₂” m respectively.
It is given that,
v₁ = 22 m/s
r₁ = 121 m
v₂ = 28 m/s
r₂ = required to find?
Also given that,
Safe speed “v” m/s is directly proportional to square root of the radius “r” m i.e.,
v ∝ √r
Therefore, we can write the relation between both the cases as,
v₁/√r₁ = v₂/√r₂
⇒ 22/√121 = 28/√r₂ …… [substituting the given values]
⇒ 22/11 = 28/√r₂
⇒ 2 = 28/√r₂
⇒ √r₂ = 28/2 = 14
squaring both sides
⇒ r₂ = [14]²
⇒ r₂ = 196 m
Thus, the radius is 196 m if the safe speed is 28 m/s.
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Answer:
196 will be answer of this question