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A man wlaking briskly in rain with speed...

A man wlaking briskly in rain with speed v must slant his umbrella forward making an angle `theta` with the vertical . A student derives the following relation between `theta` and v :
tan `theta=v`
and checks that the relations has a correct limit : as `v rarr 0, theta rarr 0` , as expected . (We are assuming there is no string wing and that the rains falls vertically for a stationary man). Do you think this relation can be correct ? If not, guess at the correct relation .

Text Solution

Verified by Experts

tan `theta` must be dimensionless . The correct formula is tan`theta = v//v.` where v. is the speed of rainfall.
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Knowledge Check

  • The relation between C_p " and " V_v is

    A
    `C_p - C_v = R`
    B
    `C_p + C_v = R`
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    ` - 285 kJ`
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    `2 n pi +- (pi)/(6)`
    D
    `n pi +- (pi)/(3)`

  • If tan theta = 1 , then sec theta = …….

    A
    1
    B
    `sqrt2`
    C
    2
    D
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