Question

you want to swim straight across a river that is 76 m wide. youfind that you can do this if you swim 28degree upstream at aconstant rate of 1.5m/s relative to the water. at what rate doesthe river flow? The angle is measured from the river bank( directlyupstream is θ=0 degree while directly across the river isθ=90degree).

Answer 1

`v_(water) = 1.325\ m/s`

Step-by-step explanation:

given,

width of river = 76 m

swimming at an angle = 28°

constant rate of speed = 1.5 m/s

rate at which river flow = ?

`v_(water) = v_(max)\ cos \theta`

`v_(water) = 1.5 *\ cos 28^0`

`v_(water) = 1.5 * 0.883`

`v_(water) = 1.325\ m/s`

hence, the rate of flow of river is equal to
`v_(water) = 1.325\ m/s`