Solve the problem.
-Find $v$ for the tip of the hour hand of a clock, if the hand is $17 \mathrm {~cm}$ long.
A) $102 \pi \mathrm { cm }$ per hour
B) $\frac { 17 \pi } { 3 } \mathrm {~cm}$ per hour
C) $\frac { 17 \pi } { 6 } \mathrm {~cm}$ per hour
D) $\frac { 17 \pi } { 12 } \mathrm {~cm}$ per hour

Question

Quizplus · Accepted Answer

The hour hand of a clock moves $360^\circ$ in 12 hours, so it moves $\frac { 360^\circ } { 12 } = 30^\circ$ per hour. The tip of the hour hand moves along a circle of radius $17 \mathrm {~cm}$, so its speed is $v = r \omega = 17 \mathrm {~cm} \times \frac { 30^\circ } { 3600^\circ } \times \frac { \pi \mathrm {~rad} } { 180^\circ } = \frac { 17 \pi } { 6 } \mathrm {~cm}$ per hour.

Solve the Problem vvv For the Tip of the Hour Hand of a Clock

Solve the Problem $v$ For the Tip of the Hour Hand of a Clock