Determine the angular speed, in rad/s of:

a. Earth about its axis
b. the minute hand of a clock
c. the hour hand of a clock
d. an egg beater turning at 300 rpm.

Respuesta :

Answer:

Explanation:

A. The earth about its axis:

The earth makes one revolution in 24 hours. to know the number of revolutions per second it makes, we need to convert hours to seconds and the revolution to rad.

[tex]\frac{1 rev}{24hours}\times \frac{1 hr}{3600s}\times \frac{2\pi}{1}= 7.27 \times10^-5 rad/s[/tex]

B. The minute hand of the clock makes one revolution in 60 minutes

To convert this to rad per second, we have

[tex]\frac{1 rev}{60mins}\times \frac{1 min}{60s}\times \frac{2\pi}{1}= 1.745 \times10^-3rad/s[/tex]

C. The hour hand of  a clock completes one revolution in 12 hours

[tex]\frac{1 rev}{12hours}\times \frac{1 hr}{3600s}\times \frac{2\pi}{1}= 1.454 \times10^-4 rad/s[/tex]

D. an egg beater turning at 300 rpm.

[tex]\frac{300 rev}{1minute}\times \frac{1 min}{60s}\times \frac{2\pi}{1}= 7.27 \times10^-5 rad/s=0.0218rad/s[/tex]