Question

The hour hand on a certain clock is 8.8 cm long. Part A Find the tangential speed of the tip of this hand. Express your answer using two significant figures. O AED 0 2 ? Ut = mm/s Submit Request Answer Provide Feedback

Answer 1

Length of the hour hand = L = 8.8 cm = 88 mm

Time taken by the hour hand to complete one revolution = T = 12 hours = 12 x (60x60) sec = 43200 sec

Angular speed of the hour hand = $\omega$

$\omega = \frac{2\pi }{T}$

2π 43200

$\omega$ = 1.454 x 10^-4 rad/s

Tangential speed of the tip of the hour hand = V

V = $\omega$L

V = (1.454x10^-4)(88)

V = 1.3 x 10^-2 mm/s

Tangential speed of the tip of the hour hand = 1.3 x 10^-2 mm/s