A 10 mg bead is free to slide on a frictionless wire loop. The loop rotates about a vertical axis with angular velocity ω. If ω is less than some critical value ωc, the bead sits at the bottom of the spinning loop. When ω>ωc, the bead moves out to some angle θ. Suppose R = 3.0 cm. What is ωc in rpm for the loop? At what value of ω , in rpm, is θ = 30∘?

19.4 rad/sec

Explanation:

Weight of the bead: W=10mg

Radius of the circular loop is:

R= 3/100 = 0.03m

Angle = 30°

w=sqrt(mg/Rcos-tita

w=sqrt(9.8/0.03×cos(30°))

w=sqrt(377.2)

w=19.4 rad/sec

a high pressure system is a dense air mass that is usually cooler and drier than the surrounding air. a low pressure system is a less dense air mass that is usually wetter and warmer than the surrounding air.

in general, areas that experience high atmospheric pressure also experience fair weather. low pressure systems can cause the formation of clouds and storms. air usually flows from areas of high pressure to areas of low pressure..