Like direct kinematics, position, speed, and acceleration can be offered to explain circularmotion. Objects through circular activity rotate about a particular point while likewise moving throughspace. All points on a uniformly turn object will certainly spin in ~ the same rate and will have actually the sameangular distance. However, the tangential speeds of every points that the object will not be the same.The speed counts on how much the suggest is native the center of rotation. This deserve to be explained withthe equation v = rw. Therefore the more the suggest is come the facility of rotation, the bigger the tangentialvelocity.

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The direction of activity of an item moving in a circular motion is constantly changing.Thus the object has actually an acceleration even though the size of the velocity that the thing maynot change. This is because the direction is constantly changing. This acceleration is calledcentripetal acceleration and also it moves perpendicular to the tangential velocity. The centripetal

acceleration (ac) can be displayed by the equation ac=v

2r

, r is the radius of the one motion and v

is the tangential velocity.

The fulcrum of the iOlab an equipment is situated at the facility of the mass. In this laboratory we will certainly usethe accelerometer and gyroscope to measure up the angular velocity and the straight acceleration asthe iOlab machine rotates approximately its z axis. We will then use this info to measure thedistance in between the center of the iOLab device and the accelerometer. This distance must bethe same as the measured value.

Procedure:

1) measure up the distance between the center of mass of the iOlab device and the accelerometer.2) record the device as the thrown in the air and rotates about its z-axis.3) discover the full centripetal acceleration.4) find the angular speed of the an equipment as that is in the air.5) Repeat measures 2-4 two more times because that a full of 3 times. The maker should be thrown at differing angular speeds every time.6) Plot ac matches w7) Plot ac matches w 28) uncover the radius the the rotation and also compare it to the measured worth from step 1.

Results

The ac of operation 1 was 11.65 m/s 2 ± 0.87 m/s 2 and also the ω of run 1 is -17.910 rad/s ± 0.rad/s. The ac of operation 2 to be 7.99 m/s 2 ± 1.18 m/s 2 and also the ω of run 2 is -14.378 rad/s ± 0.16 rad/s.The ac of run 3 to be 17.08 m/s 2 ± 1.49 m/s 2 and the ω of run 3 is 21.719 rad/s ± 0.22 rad/s.

Calculations:

Run 1:

ax = 4.771 m/s 2 ± 0.48 m/s 2

ay = -10.624 m/s 2 ± 0.72 m/s 2

ac 1 =√4.771 2 +10.624 2 =11.65m/s 2

∆S = √∆ A 2 +∆B 2 =√0.48 2 +0.72 2 =0.

Discussion:

From the measured accelerations of the x and y axis, we check out that the acceleration in the xdirection is positive throughout the throw and also the acceleration is an adverse during the throw. Thistrend holds during all 3 runs. This trend may be due to the direction that the device was spun onthe z-axis. Ns spun the an equipment in a counter-clockwise fashion. If ns spun the device in a clockwisefashion the x axis may have actually been negative and the y axis would have actually been positive.

In this experiment we measured the full centripetal acceleration by making use of theacceleration in the x and also y direction. This two values deserve to be supplied to find acceleration that thefulcrum that the iOlab an equipment outwards. The gyroscope tells united state the angular rate of the device. Ifwe look earlier at the equation in the introduction. We can plot centripetal acceleration v. Angularspeed to discover the radius of the rotation. Figure 1 and figure 2 present us the relationship. Howeverthe two values different significantly. These values are additionally different from the measured worth of0.042 m ± 0.005 m.

The far-reaching difference in the measured values and also the calculated values of the radiusof rotation probably stems indigenous the inaccuracy of the acceleration measure up of the iOlabdevice. The median percent error the the measurement of acceleration is 10.3%. This, while no avery large error, might have added to the different values. The error the the measured value ofthe radius is small so that is unlikely to have impacted the results significantly.

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I have only done 3 trials that the experiment. With recurring trials, the results have to beclearer and closer to the measure value. I additionally may have actually sampled mistakenly from the originalacceleration plots. I might not have had the beginning and also the ends of the throw, thus makingit so the my end an outcome is wrong also if my calculations are correct.