Question
A truck with 48-in.-diameter wheels is traveling at 55 mi/h.
Find the angular speed of the wheels in rad/min, *hint convert miles to inches & hours to minutes: __rad/min
How many revolutions per minute do the wheels make?__ rpm
Find the angular speed of the wheels in rad/min, *hint convert miles to inches & hours to minutes: __rad/min
How many revolutions per minute do the wheels make?__ rpm
Answers
radius of wheel = 24 inches
one rotation = 2π(24) = 48π inches
in 1 hour it goes 55 miles
= 55x5280x12 inches
= 3484800 inches
number of rotations per hour
= 3484800/(48π) = 23109.29774 rotations per hour
= 385.155 rpm
= 385.155x(2π) radians /min
= 2420 radians/min
check my arithmetic
one rotation = 2π(24) = 48π inches
in 1 hour it goes 55 miles
= 55x5280x12 inches
= 3484800 inches
number of rotations per hour
= 3484800/(48π) = 23109.29774 rotations per hour
= 385.155 rpm
= 385.155x(2π) radians /min
= 2420 radians/min
check my arithmetic
A truck with 2.5-foot-diameter wheels is traveling at 55 miles/hr. Find the angular speed of the wheels in degrees/min: How many revolutions per minute do the wheels make?