suppose you had a circle made of the same cardbord, with a radius of 8cm. how mu

Question

suppose you had a circle made of the same cardbord, with a radius of 8cm. how much mass would it have? show your calculations Questions for Lab 1, Experiment 111 1. Make a graph of M VS. L. How does the shape of the graph reveat that the relationship between M and L isn't linear? 2. The slope of the M vs. graph is derived from your measurements. a. How many SF's does the slope's value have? Explain. b. What are the units of the slope, and why? c. Suppose you had a circle made of the same cardboard, with a radius of 8.0 cm. How much mass would it have? Show your calculations. 3. The period T of a pendulum (time to swing back & forth) is related to its length L according to T = 27W1/g . The constant g has a value of 9.80 m/s' a. In the cardboard experiment, Mvs. L is a nonlinear graph, and M vs.is linear. How could you make a linear graph from measurements of T and L? Explain. b. If you made this graph, what value would its slope have (including units)? Why? ta for Lab 1, Experiment units

Explanation / Answer

I hopw you are asking answer to question 3 because 1 and 2 have less information.

Question 3:

a)

T= 2pi * sqrt (L/g)

To plot linear graph, take square on both sides.

T2 = 4* pi2* L/g

so graph between T2 and L will be linear

Because:

T2 = constant * L

constant 4* pi2/g

b)

slope = 4* pi2/g

= 4*3.142 / 9.8 s2/m

= 4.02 s2/m

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