please answer 8. In measuring the resistance of a resistor, the voltmeter readin

Question

please answer

8. In measuring the resistance of a resistor, the voltmeter reading was 15.2 uncertainty of the resistance calculated using the equation R = V / I? 9. A simple pendulum is used to measure the acceleration of gravity using ± 0.2 V and the ammeter reading was 2.6 ± 0.1 A. What is the absolute The period T was measured to be 1.24 ± 0.02 s and the length to be 0.381 ± 0.002 m. What is the resulting value for g with its absolute and relative uncertainty? An experiment to measure the density, d, of a cylindrical object uses the equation 10. tr where m = mass = 0.029 ± 0.005 kg r=radius = 8.2 ± 0.1 mm 1 length = 15.4 ± 0.1 mm What is the absolute uncertainty of the calculated value of the density?

Explanation / Answer

for these problems convert all limiting errors to percentage errors

after that convert to limiting errors

8)

V=15.2+ or-1.315%

I=2.6+or-3.846%

R=V/I

=5.846+OR-5.161%

=5.846+OR-0.3017

9)

T=2*PI*SQRT(L/g)

T=1.24+OR-0.02

=1.24+OR-1.61%

L=0.381+OR-0.002

=0.381+OR-0.524%

g=4*pi2*L/T2

=0.381/0.0389

=9.79+OR-3.744%

=9.79+OR-0.366

10)

d=m/pi*r2*l

m=0.029+or-0.005

=0.029+or-0.1724%

r=radius=8.2+or-0.1

=8.2+or-1.21%

l=length=15.4+or-0.1

=8.2+or-0.649%

d=8.91*10-6+ or-3.2414%

=8.91*10-6+or-0.288*10-6

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