For Q1. equation 6 is is f = g/2w 2 For Q2. use P = T/N where N is the number of

Question

For Q1. equation 6 is is f = g/2w2

For Q2. use P = T/N where N is the number of revolutions, and T is the measured time for those N revolutions The question specifies that the uncertainty in T is 0.25 seconds. The question asks for a particular value of N to give a particular uncertainty in P.

For Q3. y = mx + b

1. Derive equation (6) 2. If the uncertainty of a time measurement is o.25 seconds, how many complete revolutions of the dish would we have to time so that the period has an uncertainty of at o.o5 seconds? 3. Sketch a plot off vs. 1/a,2. What are the expected values of the slope and the intercept?

Explanation / Answer

1. given equation

f = g/2w

consider a pendulum of length l = 1/pi

then

time period T = 2*pi*sqroot(l/g) = 2*pi*sqroot(1/pi*g)

T = 2*sqroot(pi/g)

T^2/4 = pi/g

also, w = 2*pi*/T

T = 2*pi*/w

T = 4*pi*w/g*2*pi

T = 2w/g

2. P = T/N

dP = dT/N

dT = 0.25 s

dP = 0.05 s

N = dT/dP = 0.25/0.05 = 5

hence after 5 revolution the given condition would be met

3. f = g/2w^2

so plot of f vs 1/w^2 is a straight line

y = mx + c

where slope = g/2

intercept = c = 0

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