Question

Circular Motion Lab

Question

Q1: Does changing the mass affect the angle, acceleration, or the centripetal force?   

Q2: Does changing the speed affect the angle, acceleration, or the centripetal force?   

Q3: Does changing the chain length affect the angle, acceleration, or the centripetal force?

Q4: Calculate the Tension in the chain for each step

Different masses

	1	2	3
Mass (kg)	0.016	0.008	0.004
T (Second)	8.1261	7.6102	6.9211
T ( No. of Periods)	0.81	0.76	0.69
Chain Length (m)	0.3	0.3	0.3
Speed of mass (m/s)	1.94	2.15	2.55
Angle q	57.12°	61.45°	66.80°
centripetal acceleration (m/s2)	14.75	17.78	23.22
centripetal Force (N)	0.24	0.14	0.10
R(m)	0.25	0.26	0.28

Different speeds

	1	2	3
Mass (kg)	0.016	0.016	0.016
T (Second)	7.6107	6.7723	6.0222
T ( No. of Periods)	0.76	0.68	0.60
Chain Length (m)	0.3	0.3	0.3
Speed of mass (m/s)	2.15	2.59	3.04
Angle q	61.45°	67.50°	72.67°
centripetal acceleration (m/s2)	17.78	23.96	31.87
centripetal Force (N)	0.29	0.38	0.51
R(m)	0.26	0.28	0.29

Different chain lengths

	1	2	3
Mass (kg)	0.016	0.016	0.016
T (Second)	6.0680	3.9863	7.9869
T ( No. of Periods)	0.61	0.40	0.80
Chain Length (m)	0.3	0.16	0.385
Speed of mass (m/s)	2.99	2.37	2.75
Angle q	72.07°	75.63°	65.63°
centripetal acceleration (m/s2)	35.76	37.45	21.61
centripetal Force (N)	0.49	0.60	0.35
R(m)	0.29	0.15	0.35

Answer 1

Let M be mass of hanging weight.

Then down ward force on string = M g , where g = acceleration due to graviity

This force generates tensin T in the string > So T = Mg

Horizontal component of Tension = Mgcos = m a = mv^2/r ; where m = mass of stopper , a centripietal acceleration and V = velocity ,r = length of rotating string

If you change M , Tension changes and hene angle will also change, acceleration changes and Centripietal force also changes.

Changing speed changes the Centripietal acceleration, centrifugal force and angle.

Changing chain length also changes angle,centripietal acceleration and centripietal force

Tension when M = 0.016 Kg T = Mg = 0.016Kg x 9.8m/s^2 = 0.16 N

=0.008 Kg T = 0.008 kg x 9.8 m/s^2 = 0.08 N

=0.004 Kg T= 0.004 Kg x 9.8 m/s^2 = 0.04N

Changing chain length changes r and hence effcts accleration ,angle