In Exercises answer the given questions about the indicated examples of this section. In Example 1, what
Question:
In Exercises answer the given questions about the indicated examples of this section.
In Example 1, what is the equation relating d and t if the end of the radius starts at (0, R)?
Data from Example 1
In Fig. 10.33, assume that a particle starts at the end of the radius at (R, 0) and moves counterclockwise around the circle with constant angular velocity ω. The displacement of the
projection on the y-axis is d and is given by d = R sinθ. The displacement is shown for a few different positions of the end of the radius. Because θ/t = ω, or θ = ωt, we have d = R sinωt
as the equation for the displacement of this projection, with time t as the independent variable. For the case where R = 10.0 in. and ω = 4.00 rad/s, we have d = 10.0 sin 4.00t
By sketching or viewing the graph of this function, we can find the displacement d of the projection for a given time t. The graph is shown in Fig. 10.34.
Step by Step Answer:
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans