Question

mh (kg)	T (N)	? (Nm)	at (m/s2)
0.01	0.15	0.0046	7.84
0.02	0.175	0.00528	8.711
0.03	0.2	0.007	9.046
0.04	0.225	0.0067	9.2236

1. Graph  ? vs T and find the slope of the best-fit line. What does the slope represent? What are its units?

2. Calculate the theoretical moment of inertia for the disk.

3. Determine the experimental moment of inertia for the disk using the 0.03kg mass using the following equation: I_exp=r²*m_h (g/a_t-1)

4. Calculate the % error between the theoretical and experimental values.

Answer 1

1.

? = 0.03208T - 0.00012

With slope of best fit curve being 0.03208

The slope represents distance of point of action of the applied force from the axis

With it's dimensions equal to [L] and unit = meters.

y axis represents ?, and x axis represents Tension in Nm.

2.

Experimental moment of inertia comes out to be 3.387x10^-5 Kgm^2

By using value of r to be the slope of best fit curve

While the theoretical moment of inertia equal to 1.543x10^-5 Kgm^2.

By using I=Mr^2/2

% error between the theoretical and experimental values is

%error= (Theoretical value-Experimental value)/Theoretical value*100

= -119.50%.