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.

Mechanics Problems. ... An athlete executing a long jump leaves the ground at a 28.0 degree angle and travels 7.80m. a. What was the take off speed? ...

Physics: Maximum Range of a Projectile. ... labeled and annotated) {Hint: watch out for conversion problems from radians... The injection angle, θ will go from 0 ...

... Number of questions related to angular velocity, angular ... is an analogy between rotational and translational physical quantities. ... The angle turned is given by. ...

...Problems in rotational motion can be solved by assuming ... of a particle except that the physical quantities are ... We will determine the angle rotated before coming ...

Physics. ... The solution shows what is teh correct equation of motion to apply to this problem. ... In our case we convert the angle from revolutions to radians. ...

... we are going to use to solve the problem. ... equations can be extended to other physical quantities as ... Displacement Distance [m] x Θ Angle [radians] Speed Linear ...

... we are going to use to solve the problem. ... can be extended to other physical quantities as ... Linear Angular Distplacement Distance [m] x Angle [radians] Θ Speed ...