Centripetal Force and Centripetal Acceleration- mg

Centripetal Force and Centripetal Acceleration- mg - v=2rT...

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a=v2r v=2 rf π a=v2r v=2 rT π a=v2r Centripetal Force and Centripetal Acceleration Introduction Centripetal force is described as an external force necessary to make a body follow a curved path. The centripetal force causes an object to travel or accelerate to the centre of the circle and this acceleration is referred to as the centripetal acceleration. Any particular force or a combination of forces can act to provide a centripetal force. Some common examples of forces which provide centripetal forces are gravitational force, frictional forces, and magnetic forces. The centripetal force has the magnitude, = Fcentripetal mv2r . The centripetal force produces acceleration towards the center of the circle. The circular path that an object travels is determined by the magnitude of the linear velocity and the magnitude of the force acting on the object. The velocity of an object in circular motion is constantly changing in direction thus is implied that there is acceleration. In addition, throughout this experiment we will be determining the relationship between the centripetal force and the period, frequency, and the radius. Circular motion directly represents Newton’s Second Law, = F ma . If we recall, the acceleration of an object in a circular motion is towards the center of the circle. From this we can deduce that the overall force on the string is equivalent to the product of the mass and the gravitational force. In this investigation we will be using the relationship between the gravitational force, = F mg and the centripetal force to derive a general formula for centripetal force. We will to indentifying the relationship between centripetal and the period, the frequency, and the radius. Objective The purpose of this investigation would be to determine the relationships between centripetal force (centripetal acceleration) and radius, period, and frequency. Materials Rubber lab stopper Standard mass set (5-12 metal washers) 1 small paper clip 2.0 m of fishing line Glass tube ( wrapped with masking tape to prevent breakage) Metre stick Stop-watch Safety goggles Page | 1
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Marker Masking tape Uncertainty Table 1: Uncertainty Apparatus Limit of Reading Uncertainty Stop Watch 0.0001 (s) ± 0.05 (s) Triple Beam Balance 0.1 (g) ± 0.05 (g) Metre Stick 1. (m) ± 0.05 (m) In this investigation the margin for error is high for there was a large capacity for random and human errors. The process of receiving data is very subject for we do not know whether the paper clip is exactly 3 cm from the glass tube and this might have altered the data collected. It is important to note that the procedure was subjected to multiple errors and uncertainties, since it was not extensively reliable in collecting acceptable data. In terms of instrumental uncertainty the stop watch has an uncertainty of ± 0.05 (s), the triple beam balance has and uncertainty of ± 0.05 (g), and the metre stick used to measure the
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This note was uploaded on 04/11/2010 for the course ENG 1p03 taught by Professor Dr.fleisig during the Spring '10 term at McMaster University.

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Centripetal Force and Centripetal Acceleration- mg - v=2rT...

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