A bug is in the center of a spinning record player with radius 5 inches. The rec

Question

A bug is in the center of a spinning record player with radius 5 inches. The record spins 30 times per minute. (It's a littler slower than it should be. It needs to be tuned.) The bug walks in a straight line along the record to the edge at a speed of 2 inches/second.

a) Using the parameter t, representing time in seconds, find the parametric equations, r(t) and theta(t), for the position of the bug.

b) Eliminate the parameter from part a) to find a polar coordinate equation for the path the bug travels as it walks.

c) Determine the distance the bug travels from the time it leaves the center until it reaches the edge.

d) Find the total distance traveled if the bug's speed is changed to 4 inches/second. What effect does this have on the total distance traveled?

help please!

Explanation / Answer

given data

A bug is in the center of a spinning record player with radius 5 inches.

The record spins 30 times per miniute.

The bug walks in a straight line along the record to the edge at a speed of 2 inches/second.

d)total distance=Speed multiplied by time

                        =30*60*4=7200meters

c)distance the bug travels from the time it leaves the center until it leaves the edge=(1/2)*30*60*2

                                                                                                                                    =1800 meteres

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