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Chapter_1_examples

# Chapter_1_examples - have to beat for her to have a normal...

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EXERCISES 20: (I) Express the precision of the following results by using just the appropriate number of significant figures: (a) 6237±42m; (b)27.34±0.09s; (c) 600±0.003kg 2 1 3 10 00000 . 6 ) ( 10 73 . 2 ) ( 10 2 . 6 ) ( × × × c b a

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Exercises 13: (I) Given that π =3.14159, find (a) the area of a circle of radius 4.20m; (b) the surface area of a sphere of Radius 0.46 m ; (c) the volume of a sphere of radius 2.318m. a: A=πr 2 =55.4m 2 b: A= 4πr 2 =2.7m 2 c: V=4/3πr 3 =52.17m 3
EXERCISES 15 and 16: 1.073 (b)402.1 4.18; 10 6.37 - 10 1.075 ) Evaluate(a )] 10 )/(4.00 10 )(1.20 10 [(3.00 Evaluate 2 -1/2 -1 -20 12 + + × × × × × (b)403.2 0 . 48 ) ( 16 10 33 . 3 . 15 3 a ×

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EXERCISES 22: (II) The dimension of a board are measured to be 17.6 ± 0.2 cm by 13.8± 0.1 cm. What is its area ? 5 . 4 243 9 . 242 2 38 . 238 42 . 247 38 . 238 ) 1 . 0 8 . 13 ( ) 2 . 0 6 . 17 ( 42 . 247 ) 1 . 0 8 . 13 ( ) 2 . 0 6 . 17 ( ± = + = - × - = + × +
EXERCISES 25: A watch is advertised as being 99% accurate. Would you buy it? 86400×(1-99%)=864 864/60=14.4 min/day in error

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EXAMPLE 1.1: An engineer is designing a pacemaker for cardiac
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Unformatted text preview: have to beat for her to have a normal life expectancy? (365d/y)(24h/d)(3600s/h) (400d/y)(20h/d)(4000s/h)=3×10 ≒ 7 s/y ~55 years to live 60 years to live ≒ 76 beats per minute >> 60 beats per minute ≒ The total beats is (1 beat/s)(60y)(3×10 7 s/y) 2×10 ≒ 9 beats If a safety factor,2, is included, the cardiac pacemaker should operate 4×10 9 beats before breaking down. Example 1.2 :The period P of a simple pendulum is the time for one complete swing. How does P depend on the mass m of the bob, the length l of the swing, and the acceleration due to gravity g? [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] g l K P y z z y m x kg z s S m g m l kg m s P g l m P g l Km P z z z y y x x z y x z y x = =-= + = =-= = = = = = =-2 / 1 , 2 / 1 : : 2 1 : , , , 2...
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Chapter_1_examples - have to beat for her to have a normal...

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