A car traveling at 50 mph goes around a curve that has a radius of 75 feet. What is the car's angular velocity in revolutions per minute to the nearest tenth?

1 Answer
Jun 26, 2018

#n= 9,3(rev)/(min)#

Explanation:

tangentian velocity (v)is bound to angular velocity (#omega#) by the relationship:
#v = omega xx r#
hence
# omega= v/r#
1 mile = 5280 ft
1 h = 3600 s
#1(rev)/(min)= (2 pi)/(60 s) = 0,104 (rad)/s#
#1 (rad)/s = 9,55(rev)/(min)#
#omega= 50 xx ((5280 ft)/(3600 s))/( 75 ft)= 0,978 (rad)/s#
#n= 0,978 xx 9,55(rev)/(min)= 9,34(rev)/(min)#