Show that error in gravity due to change in gravity is proportional to the inverse length...
Calculus question please help
<3 . (ignore the working)
4. The period of a pendulum is given by T = 2 π l-where l is the length of the pendulum and g is the acceleration due to gravity. Suppose I = 5 feet feet with a maximum error of 0.01 feet .01 feet and T = 2 seconds with a maximum error of 0. 05 seconds Use differentials to estimate the maximum error of g Hint: solve for g first....
28. In a simple pendulum experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured by using a watch of 1 second least count. The mean value of time taken comes out to be 30 s. The length of pendulum is measured by using a meter scale of least count 1 mm and the value obtained is 55.0 cm. The percentage error in the determination of g is close to (a) 0.7% (b) 6.8%...
Solving variation problem
5. Let a be directly proportional to m and n2, and inversely proportional to y3. If a9 when m 4,n-9, and y - 3, find a when m-6,n2, and y -5. 7. Current Flow In electric current flow, it is found that the resistance offered by a fixed length of wire of a given material varies inversely as the square of the diameter of the wire. If a wire 0.01 in. in diameter has a resistance of...
o) The acceleration due to gravity on the moon is 1/6 of what it is on Earth. We are going to do clock experiments on the moon. We have one clock that runs because of the oscillation of a ass (m) on an ideal spring (spring constant k), which oscillates with an amplitude A, We have a second clock that runs because of a simple pendulum made of a mass (m) on a wire of length L, which oscillates with...
Error Propagation - Physics
1. The acceleration of gravity g can be obtained by using the simple pendulum and the following equation: (4 pts) 7 Calculate the acceleration of gravity g and its uncertainty if L- 92.95:0.05 cm and T 1.933t 0.009 s.
A grandfather clock contains a pendulum that swings back and
forth due to gravity. Model the pendulum as a one-dimensional rod
that is connected to a solid disk. The length of the rod is
L, and the radius of the solid disk is R. The
mass of each object is .
Known: ,
L, R, g
What is the angular acceleration of the
swinging pendulum when it is at an angle
relative to the vertical, as shown? Let counterclockwise be the
positive...
Figure 1: A pendulum of length L swinging under the force of gravity. . Suppose the pendulum is dropped from a starting angle theta 0, with no initial velocity. What are the initial conditions? . How realistic do we expect this model to be?
Show that your resting pulse occurs at a time interval that corresponds to the period of a pendulum whose length is somewhere in the ran = 0.1 to 0.25 meters. (The period of a simple pendulum is given br 2π(L/g)12, where L is the length of the pendulum and g is the accelera- tion due to gravity.)
show all steps please
(1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as a function of time satisfies the differential equation: d20 +sin0 0 dt2 where g 9.8 m/sec/sec is the acceleration due to gravity. For small values of 0 we can use the approximation sin(0)~0, and with that substitution, the differential equation becomes linear. A. Determine the equation of motion of a pendulum with length...
Using General Error Propagation Equation.
1. The acceleration of gravity g can be obtained by using the simple pendulum and the following equation: (4 pts) 7 Calculate the acceleration of gravity g and its uncertainty if L- 92.95:0.05 cm and T 1.933t 0.009 s.