The driver notices that the rain leaves no trace on the back windshield of his car slanted at a 60° angle to the horizontal when the car is moving faster than 30 km per hour. Find the velocity of rain droplets.
1
Expert's answer
2011-08-25T13:36:41-0400
Let V be the vector of velocity of rain droplets directed downwards, U - vector of velocity of the car. If we consider the car as a moving system of coordinates, then the velocity of the rain will be the sum of 2 perpendicular vectors: U+V. As the droplets leave no trace on the back windshield of the car, the resulting vector is parallel to the windshield. So tan(60°)=|V|/|U|.
Then |V|=tan(60°)*|U| = sqrt(3)*30 = 52 km/h.
So, the velocity of rain droplets is 52 km per hour.
Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…
APPROVED BY CLIENTS
Finding a professional expert in "partial differential equations" in the advanced level is difficult.
You can find this expert in "Assignmentexpert.com" with confidence.
Exceptional experts! I appreciate your help. God bless you!
Comments
Leave a comment