SOLUTION: A point on a wheel with a diameter of 90 cm moves with a linear speed of 1.4 km/s. Find the rate at which the wheel turns in rad/s and in rev/s

Algebra ->  Trigonometry-basics -> SOLUTION: A point on a wheel with a diameter of 90 cm moves with a linear speed of 1.4 km/s. Find the rate at which the wheel turns in rad/s and in rev/s      Log On


   

Question 809973: A point on a wheel with a diameter of 90 cm moves with a linear speed of 1.4 km/s. Find the rate at which the wheel turns in rad/s and in rev/s
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
C = 2*pi*r = pi*0.9 ~= 2.8274334 meter
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1.4 km/s = 1400 meter/s
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wheel speed:
rev/s = 1400 meter/s * (1/2.8274334) rev/meter ~= 495.149 rev/s
rad/s = ~= 495.149 rev/s * (2*pi) rad/rev ~= 3111.111 rad/s
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