Your grandfather clock's pendulum has a length of 0.9930 m. a. If the clock runs slow and loses 23 s per day, how should you adjust the length of the pendulum? Note: due to the precise nature of this problem you must treat the constant g as unknown (that is, do not assume it is equal to exactly 9.80 m/s2). Express your answer to two significant figures and include the appropriate units. Enter positive value in case of increasing length of the pendulum and negative value in case of decreasing length of the pendulum.

Your grandfather clock's pendulum has a length of 0.9930 m. a. If the clock runs slow and loses 23 s per day, how should you adjust the length of the pendulum? Note: due to the precise nature of this problem you must treat the constant g as unknown (that is, do not assume it is equal to exactly 9.80 m/s2). Express your answer to two significant figures and include the appropriate units. Enter positive value in case of increasing length of the pendulum and negative value in case of decreasing length of the pendulum.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Imagine you've constructed a pendulum at home and measured the length of the rope and the period. The goal here is to create a graph where the slope corresponds to the gravitational acceleration constant. For that you have to get an X and a Y. First, you have these 2 equations as a starting point: T= 2π/ω and ω= sqrt(g/L). Play with the equations to construct an equation for a linear graph with the form: Y=mX+b where the slope m=g. Identify clearly what X and Y represent. The equation should look like: ? = g(? + ?)
The approximation that sin 0 = 0 is only applicable for small angles because A The pendulum always swings at small angles. B The angle does not affect any quantity for the motion of a pendulum. The difference between the sine value and the radian value is small to the point that we can neglect it. D It is easier to analyze the system without the trigonometric function sine.
Some passengers on an ocean cruise may suffer from motion sickness as the ship rocks back and forth on the waves. At one position on the ship, passengers experience a vertical motion of amplitude 1.5 m with a period of 13 s. Part A: What is the maximum acceleration of the passengers during this motion? Express your answer using one significant figure. Part B: What fraction is this of g ? Express your answer using one significant figure.
You will solve the following problem twice, first using kinematics and second using the ideas of conservation of energy: A mass is attached to a spring with a spring constant of k=11 N/m. The motion of the mass can be described by the equation x(t) = 35 cos (1.2n t), where x(t) is cm. You want to figure out how fast the mass is moving at x = 28 cm. A. Find a solution using the kinematic relationship, v(t) = x(t). B. Find a solution using the principle of conservation of energy: E = KE + U
answer only a..14
The period (T) of a simple pendulum is given by the formula T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity. Using dimensional analysis, determine the expression for the dimension of g in terms of the fundamental dimensions of mass (M), length (L), and time (T).
The analysis of a simple pendulum assumed that the mass was a particle, with no size. A realistic pendulum is a small, uniform sphere of mass M and radius R at the end of a massless string, with I being the distance from the pivot to the center of the sphere. Part A Find an expression for the period of this pendulum. Express your answer in terms of the variables M, R, L, and free fall acceleration g. T= IVE ΑΣΦ Submit Part B Request Answer Suppose M = 25 g, R = 1.0 cm, and L = 1.0 m, typical values for a real pendulum. What is the ratio Treal/Tsimple, where Treal is your expression from part A and T'simple = 2π₁/₂ Express your answer using six significant figures. Treal/Tsimple= ? IVE ΑΣΦ ?
An object of unknown mass is attached to an ideal spring with force constant 110 N/m and is found to vibrate with a frequency of 5.50 Hz. Part A Find the period. Express your answer in seconds. Part B Find the angular frequency. Express your answer in radians per second. Part C Find the mass of this object. Express your answer in kilograms.
Part A: The position of a 40 gg oscillating mass is given by x(t)=(2.0cm)cos(10t)=(2.0cm)cos⁡(10t), where t is in seconds. Determine the velocity at t=0.40s=0.40s. Express your answer in meters per second to two significant figures. Part B: Assume that the oscillating mass described in Part A is attached to a spring. What would the spring constant k of this spring be? Express your answer in newtons per meter to two significant figures. Part C: What is the total energy E of the mass described in the previous parts? Express your answer in joules to two significant figures.
Answer must be in scientific notation with SI units that do not have prefixes except for kg. (m/s not cm/s). Answer must be in standard form scientific notation. All angles are to be calculated to the nearest 0.1 deg (tenth of a degree).
The block is at rest as shown. What is the peiod of the oscillation if the block is pulled down by 10 cm, in seconds? Use g = 10 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
A body oscillates in simple harmonic motion according to the equation: x = 5.0 (cos 0.40 t 0.10) where each term is in mks units (meters, kilograms, seconds). A) What is the period of the motion in seconds? B) What is the displacement x at t = 2.0 seconds?