91Ó°ÊÓ

Where needed, assume the earth to be a sphere with a radius of 3960 mi. Actually, the distance from pole to pole is about 27 mi less than the diameter at the equator. The hour hand of a clock is 85.5 mm long. How far does the tip of the hand travel between 1: 00 A.M. and 11: 00 A.M.?

Where needed, assume the earth to be a sphere with a radius of 3960 mi. Actually, the distance from pole to pole is about 27 mi less than the diameter at the equator. Find the radius of a circular railroad track that will cause a train to change direction by \(17.5^{\circ}\) in a distance of \(180 \mathrm{m}\).

Convert each angle given in degrees to radian measure in terms of \(\pi\) $$130^{\circ}$$

Convert each angle given in degrees to radian measure in terms of \(\pi\) $$66^{\circ}$$

Where needed, assume the earth to be a sphere with a radius of 3960 mi. Actually, the distance from pole to pole is about 27 mi less than the diameter at the equator. The pulley attached to the tuning knob of a radio (Fig. \(14-13\) ) has a radius of \(35 \mathrm{mm}\). How far will the necdle move if the knob is turned a quarter of a revolution?

A milling machine cutter has a diameter of \(75.0 \mathrm{mm}\) and is rotating at 56.5 rev/min. What is the linear speed at the edge of the cutter?

Convert each angle given in degrees to radian measure in terms of \(\pi\) $$240^{\circ}$$

Where needed, assume the earth to be a sphere with a radius of 3960 mi. Actually, the distance from pole to pole is about 27 mi less than the diameter at the equator. One circular "track" on a magnetic disk used for computer data storage is located at a radius of 155 mm from the center of the disk. If 1000 "bits" of data can be stored in \(1 \mathrm{mm}\) of this track, how many bits can be stored in the length of this track subtending an angle of \(\pi / 12\) rad?

Convert each angle given in degrees to radian measure in terms of \(\pi\) $$126^{\circ}$$

Convert each angle given in degrees to radian measure in terms of \(\pi\) $$105^{\circ}$$