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Now this sector with central angle , folded into a right circular cone. Note that the circumference ofthe base of the cone = length of arc ACB (s).

Let 'r' be the radius of the base of the cone then circumference = 2 p r

14. Find the diameter of a pulley which is driven at 360 revolution per minute by a belt moving at 44cm/sec.

Solution

The given pulley is driven at 360 revolution per minute.

\ It is driven at 6 revolution per sec.

Let `r' be the radius of the pulley, then its circumference
= 2 p r

The belt is around the pulley, therefore in one revolution the length of the belt unwound is 2pr.

\ length of the belt unwound in 6 revolutions = 6 ´ 2pr
= 12p r

15. A truck travelling at 60 km/hr. has front wheels of radius 2m. Compute their angular speed in radians/sec.


Solution

 

[next page]

 

Index

1.1 Angles (Radians & Degrees)
1.2 Arc Length & Area of the circle
Supplementary Problems

Chapter 2





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