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Part 1: Compare theoretical and measured acceleration Use the stopwatch to time the descent of the cart through several trials at this angle. How will you measure the track's first angle of incline $\theta_1$? How will you measure the displacement $\Delta x$ of the cart? How will you estimate the acceleration of the cart $a$? Theoretical (expected) acceleration: $a_t = g \sin \theta =$ $9.8 \sin \theta$ $\sin^{-1} \frac{6.5}{118} = 3.16$ Trial Mass $m_1$ $\theta_1$ ($^\circ$) $\Delta x$ (m) $t$ (s) Measured $a_1$ Expected $a_1$ % error (kg) (m/s$^2$) (m/s$^2$) 1 104 2.02s 0.51 m/s$^2$ 2 0.490kg 3.58$^\circ$ 104 2.06s 0.49 m/s$^2$ 0.61 m/s$^2$ 19.67% 3 104 2.08s 0.48 m/s$^2$ Average 0.49

          Part 1: Compare theoretical and measured acceleration
Use the stopwatch to time the descent of the cart through several trials at this angle.
How will you measure the track's first angle of incline $\theta_1$?
How will you measure the displacement $\Delta x$ of the cart?
How will you estimate the acceleration of the cart $a$?
Theoretical (expected) acceleration: $a_t = g \sin \theta =$
$9.8 \sin \theta$
$\sin^{-1} \frac{6.5}{118} = 3.16$
Trial	Mass $m_1$	$\theta_1$ ($^\circ$)	$\Delta x$ (m)	$t$ (s)	Measured $a_1$	Expected $a_1$	% error
(kg)	(m/s$^2$)	(m/s$^2$)
1			104	2.02s	0.51 m/s$^2$
2	0.490kg	3.58$^\circ$	104	2.06s	0.49 m/s$^2$	0.61 m/s$^2$	19.67%
3			104	2.08s	0.48 m/s$^2$
Average	0.49

Part 1: Compare theoretical and measured acceleration
Use the stopwatch to time the descent of the cart through several trials at this angle.
How will you measure the track's first angle of incline θ1?
How will you measure the displacement Δ x of the cart?
How will you estimate the acceleration of the cart a?
Theoretical (expected) acceleration: at = g sinθ =
9.8 sinθ
sin^-1(6.5)/(118) = 3.16
Trial Mass m1 θ1 (^∘) Δ x (m) t (s) Measured a1 Expected a1 % error
(kg) (m/s^2) (m/s^2)
1 104 2.02s 0.51 m/s^2
2 0.490kg 3.58^∘ 104 2.06s 0.49 m/s^2 0.61 m/s^2 19.67%
3 104 2.08s 0.48 m/s^2
Average 0.49

Added by Ashley S.

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