Question

Example 7.1 Whirlybirds Goal Convert an angular speed in revolutions per minute to radians per second. Problem The rotor on a helicopter turns at an angular speed of 3.40 x 102 revolutions per minute. Express the angular speed in radians per second. Strategy During one revolution, the rotor turns through an angle of 27 radians. Use this relationship as a conversion factor. Solution Apply the conversion factors 1 rev = 2r and 60 S = 1 min. = 3.40 x 102 rev min w = 3.40 x 102 min (re) (-60,05") w= O rad/s Exercise 7.1 Hints: Getting Started I'm Stuck A waterwheel turns at 1490 revolutions per hour. Express this figure in radians per second. rad/s

Answer 1

here,

angular velocity , w = 340 rpm

angular velocity, w = 2pi/60 * 340 = 35.6 rad/s

the angular velocity is 35.6 rad/s

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at 1490 revolutions per hour

angular velocity = 1490 * 2pi/3600 rad/s

angular velocity = 2.6 rad/s

the angular velocity is 2.6 rad/s