“Last Saturday was extremely windy while we were out for a jog/run. The wind was blowing from the west to east, while we were running north. Clearly, I felt the effect of the wind.”
So how can one quantify the effects of wind. Here is my 2 paisa - please provide your solutions
Density of air is know, Its velecity is known. Our body area on which the air impinges upon is known. Assume we are a cylinder - so area = 2PiR*H.
Rate at which air moves = dx/dt = velocity of air.
Energy = 1/2mV^2 where m is mass of air hitting body.
Power = dE/dt = power = 1/2dm/dtv^2
dm/dt = densityour areadx/dt
So we know the power with which air strikes us. We know the direction.
we apply this power(P2) in opposite direction (as TLK stated).
The power (P2) for us to go North south = our weight*dy/dt, where dy/dt = 5 mph.
So aply this power to north direction. Apply P1 tp East direction.
Calculate magnitude and direction of net power.