Physics Problems - Angle conversions and using Radians

1. Convert the following angles from degrees to radians, to three significant figures: a) 15°, b) 45°, c) 90° and d) 120°.

2. A jogger on a circular track that has a radius of 0.250km runs a distance of 1.00 km. What angular distance does the jogger cover in a) radians and b) degrees?

3. In Europe, a large circular walking track with a diameter of 0.900 km is marked in angular distances in radians. An American tourist who walks 3.00 mi daily goes to the track. How many radians should he walk per day to maintain his daily routine?

4. Electrical wire with a diameter of 0.50cm is would on a spool with a radius of 30 cm and a height of 24cm. a) Through how many radians must the spool be turned to wrap one even layer of wire? B) What is the length of this wound wire?

5. If a particle is rotating with an angular speed of 3.5 rad/s, how does it take for the particle to go through one revolution?

Solution Summary

The solution goes over a number of physics problems relating to the use of angles, degrees, and radians.

Please answer all attached questions with full solutions, working and answers. Thank You.
Express each of the following trigonometric functions in terms of the same function of a positive acute angle.
Convert to radians, expressing your answers as a multiple of pi .
Convert to degrees.
A horizontal section of a circular p

A 12-in. diameter phonograph record rotates about its center by one-quarter turn.
a. Through how many radians has it turned?
b. How far has a point on the rim moved?

MTH212 Unit 5 Assignment : Please see the attached file for the fully formatted problems.
1. The following chart shows some common angles with their degrees and radian measures. Fill in the missing blanks by using the conversions between radiansand degrees to find your solutions. Show all work to receive full credit.
2.

The tub of a washer goes into its spin-dry cycle, starting from rest and reaching an angular speed of 5.0 rev/s in 8.0 s. At this point, the person doing the laundry opens the lid and safely switch turns off the washer. The tub slows to rest in 12.0 s. Through how many revolutions does the tub turn during the entire 20-s interva

A pulley has an initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s squared. Through what angle does the pulley turn in 5.26 s?

Part 1:
The first-order line of 577 nm light falling on a diffraction grating is observed at a 13.6° angle. How far apart are the slits?
Part 2:
At what angle will the third order be observed?

In this question ABC and PQR are two triangles, and the lengths of the sides opposite the angles A,B,C P, Q, R are a,b,c,p,q,r, respectively.
Choose the THREE false statements.
Options.
A. If angle A= angle Q andangle B= angle P. then it must follow that c b
--- = --
r p
B. I

1. A wheel is rotating at a rate of 2.0 revolutions every 3.0 s. Through what angle, in radians, does the wheel rotate in 1.0 s? , one revolution is the same as 2p radians.
2. Two identical bar magnets lie on a table along a straight line with opposite poles facing each other (the figure below (d)). Sketch the magnetic field

Please give step-by-step answers to the following trigonometry problems.
1) Assume that the terminal side of an angle of t radians passes through the point (.9, -.4) . Find sin (t), cos (t), tan (t).
2) Assume that the terminal side of an angle of t radians in standard position lies in the given quadrant on the given strai