- #36
Dick
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imy786 said:(iii)
x= Asin (wt)
v= Awcos (wt)
100/w= v
100= Aw^2 (wt)
A is a constant, what will this constant be?
would this be right equation for (iii)
Did you draw a wave? Starts at 0 (at t=0), goes up to A (at t=(1/2)*pi/w)), goes back down to 0 (at t=pi/w), goes down to -A (at t=(3/2)*pi/w) finally back up to 0 (t=2*pi/w). For the first part of iii) since a=-w^2*sin(wt), points of maximum acceleration will be when A*sin(wt) is a maximum in size. So this could be either when it is A or -A. From the graph we can see this happens at t=(1/2)*pi/w and t=(3/2)*pi/w. So the interval between two such events will be (fill in the answer here). As for maximum speed, v=A*cos(wt). If you play the same game you did with sin(wt) you will see this is A at t=0, -A at t=pi/w and +A again at 2*pi/w and these are the points when the SIZE of v is a maximum. So the interval between two such events is (fill in the answer here).