00:01
Hi there, so for this problem we are told that a piston in a gasoline engine is in simply harmonic motion.
00:11
The engine is running at a rate, so we are given the angular velocity that is equal to 2 ,930 revolutions per minute.
00:33
And taking the streams of its position relative to its center point.
00:40
So we are given the amplitude and then that amplitude is 4 .25 centimeters.
00:53
That is the same in meters as 0 .0 425 meters.
01:02
Now for part a of this problem, we are asked about.
01:07
To find the magnitude of the maximum velocity of the piston.
01:13
Now the first thing to do this is to transform the angular velocity that we are given in revolutions per minute to radiance per second.
01:23
So first, we know that one revolution is equal to two times pi radius, and also we know that one minute is equal to 60 seconds.
01:40
So by doing this product, we obtain a value of 306 .83 radiance per second...