The resonant frequency f (in Hz) for the circuit shown is given by:
Given L = 0.2 H,
(a) f versus R2for
(b) f versus
Plot both plots m a single page (two plots in a column).
Trending nowThis is a popular solution!
Chapter 5 Solutions
MATLAB: An Introduction with Applications
- Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height by reducing energy. See Figure 5.30. If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the wave beyond the breakwater is given by h=HR0.5, where R is the width ratio R=w/W. a. Suppose a wave of height 8 feet in a channel of width 5000feet encounters a breakwater that narrows the channel to 3000feet. What is the height of the wave beyond the breakwater? b. If a channel width is cut in half by a breakwater, what is the effect on wave height? 16. Height of Tsunami WavesWhen waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Greens law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?arrow_forwardBy expanding (xh)2+(yk)2=r2, we obtain x22hx+h22ky+k2r2=0. When we compare this result to the form x2+y2+Dx+Ey+F=0, we see that D=2h,E=2k, and F=h2+k2r2. Therefore, the center and the length of a radius of a circle can be found by using h=D2,k=E2 and r=h2+k2F. Use these relationship to find the center and the length of the radius of each of the following circles. x2+y2+4x14y+49=0arrow_forward1 2.9 - 2 dx /2n -2.15 a.Use 4-segment Trapezoidal rule to find the frequency. b.Find the absolute error, ", for part (a).arrow_forward
- Find the area of one leaf of the rose r = cos(4θ).arrow_forward1. For the letters A-J, please refer to the graph. Assume that the data is modeled by an equation of the form y=k+Asin(B(x−h))or y=k+Acos(B(x−h)). Using the data and your graph from part one, estimate the following variables and explain your answers for each part. (A)-Calculate the amplitude as an average of 3 different values. (B)-Estimate the period and determine B. (C)-Estimate k as an average. (D)- Estimate h. (E)-Write a model for the data in the form of either y=k+Asin(B(x−h)) or y=k+Acos(B(x−h)). (F)-Plot your model from number 4 with the year listed along the horizontal axis and the sunspot number along the vertical axis. How does this compare to the graph of the actual data? (G)-According to your model, what is the length of the sunspot cycle in years? Explain? (H)-Use your model to predict the sunspot number for 2001. How does your prediction compare with the actual value of 111.arrow_forwardA robot is on a mountain whose height is given hz.y) = exp(-x² - y²). If the robot is in position (1/√2,1/√√2), in what direction should it move to descend as quickly as possible? A. (1/√2.1/√2) B. (1,-1) C. (2,3) D. (3/√√3,-1/√√3)arrow_forward
- Suppose the oscillatory motion of an object can be modeled using the equation s(t) = 4.8sin(4.5t) where time is measured in seconds and distance is measured in inches. Find the number of cycles (oscillations) the object makes per second. (Provide 4 decimal places.)arrow_forwardA 6 Lat 2 Fr.dt rs O, Ae. Bc CA, OC, AE, AA, od Co O Lat Pal (2A-36)<arrow_forwardi) The angular displacement 0 radians of a flywheel varies with time t seconds and follows the equation 0 = 9t? – 2t3.Determine, a)The angular velocity and acceleration of the flywheel when time, t =1 s. b) The time when the angular acceleration is zero. ii) The alternating current in an AC circuit, į amperes, is given by i = 20sin (2nft), where f is the frequency in hertz and t the time in seconds. Determine the rate of change of current when t=30ms, given that f =200HZ.arrow_forward
- If A=41, <BDC = 58(degrees), AB=18 and DB= 14 find x then y.arrow_forwardA particle moves vertically (in inches) along the yoxis according to the position equation s(1) = ,° – 5° + 3t +6, where t represents seconds. Rank the following from least to greatest: the speed when t = 3, the velocity when t= 7, and the average velocity on the interval [2,6].arrow_forwardJA. IF f(x) = Vx- 4, g(x)=x, Find Coalr) Then graph it & determine (domain ,rang B-Granh the following 7 ?sin(rt Vi- 2cotxarrow_forward
- Intermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning