Figure 2. The Motor Driven Centripetal Force Apparatus DESCRIPTION OF THE APPARATUS: The Centripetal Force Apparatus con

[answerhappygod]

Figure 2 The Motor Driven Centripetal Force Apparatus Description Of The Apparatus The Centripetal Force Apparatus Con 1 (70.75 KiB) Viewed 28 times

Figure 2 The Motor Driven Centripetal Force Apparatus Description Of The Apparatus The Centripetal Force Apparatus Con 2 (66.32 KiB) Viewed 28 times

Figure 2 The Motor Driven Centripetal Force Apparatus Description Of The Apparatus The Centripetal Force Apparatus Con 3 (52.03 KiB) Viewed 28 times

Figure 2 The Motor Driven Centripetal Force Apparatus Description Of The Apparatus The Centripetal Force Apparatus Con 4 (46.23 KiB) Viewed 28 times

Figure 2 The Motor Driven Centripetal Force Apparatus Description Of The Apparatus The Centripetal Force Apparatus Con 5 (34.27 KiB) Viewed 28 times

Figure 2. The Motor Driven Centripetal Force Apparatus DESCRIPTION OF THE APPARATUS: The Centripetal Force Apparatus consists of two units: 1. The speed control device. 2. The rotating mass attached to a spring (rotator). When the motor of the speed control device is turned on, a known cylindrical mass m is rotated in a circular path about a vertical axis. As the speed of the motor is adjusted, the mass m moves from its initial position to a predetermined position near the end of its housing on smooth guide rods G. There the mass actuates the pointer P about its pivot point, and when the pointer is opposite the index I the mass m is at the desired radius R, which can be measured. The spring Z of adjustable tension provides the centripetal force to hold the mass in its circular path. PROCEDURE: 1. Construct a table in your notebook similar to the one shown at the end of this write up. Record all the information under the appropriate headings. 2. Set the front face of the threaded collar K on the rotator to zero. (See Figure 2.) 3. Use the key to securely mount the rotator on the spindle of the speed control device. Make sure to lock it so that it does not come out when pulled. Zero the revolutions per minute (RPM) digital display counter. 5. Start the motor and slowly increase the motor speed. Watch the pointer P and Index I and adjust the speed so that the pointer is opposite the index (See Figure 3.). 1.
Figure 3. Speed Index Diagram (Proper adjustment of the speed of rotation is critical. Inasmuch as the speed will oscillate slightly it is best to continuously watch the pointer, adjusting the speed so that it moves about the index I as an average position). 6. Record in Table 1 the value of the RPM as shown on the digital display counter. Decrease the speed until rotator comes to a stop. 7. Repeat steps 4, 5, and 6 two more times for the same spring setting, record the data in TABLE 1, and obtain the average value for the RPM. 8. Remove the rotator from the speed control device and hang it from the support stand as shown in Figure 4. Attach a weight holder to the eye of the string attached to the mass and add weights until the pointer aligns itself with the index I. Record the total masses supported by the spring, including the mass m Figure 4. To measure the Centripetal Force (+ M)g and the Radius R 9. While the rotator is suspended with weights attached so that the pointer is at the index, measure the radius R, ie. the distance from the center of mass to the axis of rotation 10. Set the front face of threaded collar K to number 10 and repeat steps 3 through 9 and then set the front face of the threaded collar to number 20 and repeat steps 3 through 9. ANALYSIS: Convert the RPM TO RPS, revolutions per second. Calculate the value of the centripetal force F. (for the three collar settings) by substituting the values of f, m, and R in Eq. 3, record these values in TABLE 1 m M
ANALYSIS: 1. 2 3. Convert the RPM TO RPS, revolutions per second. Calculate the value of the centripetal force F, (for the three collar settings) by substituting the values of f, m, and R in Eq. 3, record these values in TABLE 1 C 3 under the heading "COMPUTED" and compare it to the measured value of the spring tension in step 8 of the PROCEDURE NOTE: Be certain to use only the rotating mass, m, for calculating the centripetal force. Calculate the percentage difference between the "COMPUTED" values of the centripetal force and the "MEASURED" values Mass of cylinder m (gm) - Radius of the circle of rotation R (cm)
S. Calculate the percent error in F, arising from a 1% error in measuring the radius R. 6. For the minimum spring setting compute w, the angular velocity in radians per second and v, the linear speed of the mass m. Does the centripetal force acting on the mass do any work? 8. What is the speed of a satellite traveling in orbit two earth radii above the surface of the earth? 9. If this experiment were performed on the moon, which of your measured quan- tities would be different and by how much? 7.
Centripetal Force Data • . • Mass of the cylinder, m=153gm Radius of circle of rotation, r-5.5 cm Hanging mass, M • • Measured F-(m+M)g, g-980 cm/s² Data: Spring # RPM 514 560 508 10 559 560 588 598 630 572 20 M (gm) 2100 2475 2800