The original poster encounters a problem involving an object moving in a circular path with a specified radius and arc length, seeking to determine the angular displacement. The context is centered around concepts of circular motion and angular measurements.
Participants are actively engaging with the problem, providing guidance on how to approach the calculations. There is a focus on understanding the relationships between the variables involved, with some participants offering specific numerical insights while others seek clarification on the steps to take.
There is an emphasis on understanding the definitions and relationships in circular motion, with participants noting the importance of radians and degrees in the context of angular displacement. The original poster expresses uncertainty about the formulas and calculations involved.
LowlyPion said:Welcome to PF.
What is the circumference of a circle with radius 4?
And what percentage of the circumference does 3.16 represent?
That percentage of 360° then ...
math_girl said:so I got the following figured out, circumerence is 25.13
to find the percentage of the circumference that 3.16 represents should I take 3.16/25.13? If so that number is .126, than what should I do with figuring out the percentage of 360°?
LowlyPion said:What you determined is the fraction of the circumference. Since there are 360 degrees in a full circle or alternatively there are 2*π radians in a circle ...
If you want degrees, then multiply by 360.
If you want it in radians, there are 2*π (2*3.1415), then multiply .126*6.283.