Share
Explore BrainMass

Resultant velocity of a rower crossing a river's current

See attached file for full problem description.

a. Rower A wishes to cross a river directly to the opposite bank (east) a distance of 30m. (i.e. at 90 to the shore). The current is flowing NS at 2.6 m/s and he can sustain a rowing speed of 3 m/s.

Attachments

Solution Preview

Please refer attachment.

SOLUTION

a. i)Velocity vector diagram

The rower is subjected to two velocities simultaneously - the velocity of the river and his own rowing velocity. The rower will actually move in the direction of the resultant of these two velocities. As the rower wants to cross the river directly to the opposite bank i.e. wants to travel perpendicular to the bank, rower's resultant velocity must be in that direction. To achieve this the rower's velocity should be suitably directed as shown in the vector diagram below :

VA = 3 m/s

θ Vresult

...

Solution Summary

The resultant velocity of a rower crossing a river's current is determined.

$2.19