mass * centripetal acceleration * height of center of mass * cos A = mass * g * height of center * sin A
sin A/cos A = (v^2/R) / g = tan A
15 m/h * 5280 ft/m * 1 h/3600 s = 22 ft/s
v^2/R = 22^2/50 = 9.68 ft/s^2
9.68 / 32 = .3025 = tan A
so
A = 16.8 deg
A boy running a foot race rounds a flat curve of 50 ft radius. If he runs at rate of 15 mph, at what angle with the vertical will be inclined his body?
A.) 16.75°
B.) 13.67°
C.) 76°
show solution step by step
thanks
1 answer
1 answer