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Order of Magnitude Large and small numbers are written as power of ten in scientific notation. If the number is more than five then it's order of magnitude is power of ten plus one If the number is less than five the power of ten is it's magnitude. Example 1)Find the order of magnitude of 4.62 `\times10^3` Here the number 4.62 is less than five `\therefore` the order of magnitude is 3 2)Find the order of magnitude of 5.32 `\times10^6` Here the number 5.32 is more than five `\therefore` the order of magnitude is 6+1=7 Sai's Classes
Sai's Classes helping the students who are aiming IIT with a series of Physics problems solving through explanation in details The following video surely help those JEE preparing students . More videos will be uploaded; to get an update subscribe the You Tube channel.
Question 4 : A uniform cylinder of mass 'M' and radius 'R' is to be pulled over a step of height 'a' (a<R) by a force 'F'at it's centre 'O' perpendicular to the plane through the axis of the cylinder on the edge of the step as shown in figure. The minimum value of 'F' required is Answer: Apply the principle of moment about the edge of the step C Sum of clockwise moment=Sum of anticlockwise moment Just before rolling `F× R=Mg×d`---------------(1) (where d=CB from figure) Applying Pythagores theorem in đťš«OBC `R^2=(R-a)^2+d^2` `d=sqrt(R^2-(R-a)^2)` substitute for d in (1) `F=(Mg/R)×R×sqrt(1-((R-a)/R)^2)` `F=Mg×sqrt(1-((R-a)/R)^2)` Watch Video with explanation