Physics Lab Report 8.docx

# To find the approximate value of k multiply the mass

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divide time (t) by the number of oscillations whereby the result should come around 1s. To find the approximate value of k, multiply the mass of each support by 981 cm / s 2 and divided it by the length (x). Input all the units into the graph by using mg x as the depended value while m as independent, and the horizontal line of the best fit. The approximate value of spring constant should come around 8691.6 g / s 2 . Disconnect the spring from the arm, remove the support mass, and measure the weight of the spring (M) on a triple-beam balancer. Estimate the period theoretical by the following formula T theor = 2 π m + 1 3 M k whereby gravitational acceleration is equal to 981cm ¿ s 2 .

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The result will come about 0.9633s. To calculate the percentage error of the period use the following formula | T theor T | T theor + T 2 *100, which should be less than 5% and result in 3.74%. Data : M = 162.9g N=60 t=60s Calculations : I. k ≈ 8691.6 g / s 2 0 50 100 150 200 250 300 350 8000 8100 8200 8300 8400 8500 8600 8700 8800 8605.26 8692.41 8655.88 8515.63 8530.43 f(x) = - 0.56x + 8691.59 m mg/x II. T = 60 60 = 1 s m 1 =50g x 1 = 5.7 cm m 2 = 70 g x 2 = 7.9 cm m 3 = 150 g x 3 = 17 cm m 4 = 250 g x 4 = 28.8 cm m 5 =300g x 5 = 34.5 cm
T theor = 2 π m 3 + 1 3 M k = 2 π 150 + 1 3 ( 162.9 ) 8691.6 = .9633 s ¿ T theor T ¿ T theor + T 2 100 = | 0.9633 1 | 0.9633 + 1 2 100 = 3.74 ¿
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