For the following problem perform the appropriate unit conversion (I) The hour h

Question

For the following problem perform the appropriate unit conversion (I) The hour hand of a clock covers in one day and six hours, an angle equal to A. 5rad B. 2.5rad C. 5 pi rad D. 25/2 pi rad E. 2 pi rad (II) When the engine of certain car is turning at rate of 3000 times every minute, it's angular speed can be expressed as A. 18000^red/s B. 100 pi^red/s C. 600 pi^red/s D. 360000 pi^red/s E. 50^red/s (III) A ladybug is spinning in a turn - table, at a radius of 23 cm, if the bug is increasing its speed by 0.046^m/s every second, it has an angular acceleration of A. 0.020^red/^2/s B. 72.2^red/^2/s C. 0.20^red/^2/s D. 0.722^red/^2/s E. 20^red/^2/s

Explanation / Answer

Time period of hour hand T = 12*hr

t = 24+6 = 30 hr

theta = w*t = (2pi/12)(30)

theta = 5pi rad

correct option is (C)

(II) w = 3000*2pi/60

w = 100 pi rad/s

correct option si (B)

(III) r = 23 cm , a = 0.046 m/s^2

a = r*alpha

0.046 = 0.23*alpha

alpha = 0.2 rad/s^2

correct option is (C)

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