1) A string trimmer is a tool for cutting grass and weeds; it utilizes a length...

1) A string trimmer is a tool for cutting grass and weeds; it utilizes a length of nylon "string" that rotates about an axis perpendicular to one end of the string. The string rotates at an angular speed of 47 rev/s, and its tip has a tangential speed of 56 m/s. What is the length of the rotating string?

2) A planet orbits a star, in a year of length 4.62 x 10⁷ s, in a nearly circular orbit of radius 3.87 x 10¹¹ m. With respect to the star, determine (a) the angular speed of the planet, (b) the tangential speed of the planet, and (c) the magnitude of the planet's centripetal acceleration.

3) A star has a mass of 1.56 x 10³⁰ kg and is moving in a circular orbit about the center of its galaxy. The radius of the orbit is 3.9 x 10⁴ light-years (1 light-year = 9.5 x 10¹⁵ m), and the angular speed of the star is 2.3 x 10^-15 rad/s. (a) Determine the tangential speed of the star. (b) What is the magnitude of the net force that acts on the star to keep it moving around the center of the galaxy?

Expert Solution

genius_generous answered 8 months ago

A string of length L = 1 is held fixed at both ends. The string is...

A string of length L = 1 is held fixed at both ends. The string is initially deformed into a shape given by u(x, t = 0) = sin^2(πx) and released. Assume a value of c2 = 1. Find the solution u(x, t) for the vibration of the string by separation of variables.

In general, cutting heat in cutting operations mainly affects tool wear, whereas grinding heat in grinding...

In general, cutting heat in cutting operations mainly affects tool wear, whereas grinding heat in grinding operations has a significant effect on the surface finish of the workpiece. Explain why this is so using a figure. Explain the reason for this with a figure. I can't read in cursive . Therefore, I would like you to write in block style.

Given a string of at least 3 characters as input, if the length of the string...

Given a string of at least 3 characters as input, if the length of the string is odd return the character in the middle as a string. If the string is even return the two characters at the midpoint. -------------------------------------------------------------- public class Class1 { public static String midString(String str) { //Enter code here } }

a rectangular slab of 2024-T6 alluminium alloy is to be machined by a cutting tool of...

a rectangular slab of 2024-T6 alluminium alloy is to be machined by a cutting tool of a rake angle of 6.5 degrees. the friction coefficiet between the tool and the slabmaterial was found to be 0.32 . if the shear yield stress of the alluminium alloy is 210 MN/m^2 , calculate the force in the direction of the tool feed (Fx) for a depth cut (t) of 0.8 mm and a unit tool width of 1mm.

1. A string is fixed at both ends. If only the length (L) increases, then the...

1. A string is fixed at both ends. If only the length (L) increases, then the fundamental frequency goes: (circle one) up down 2. If only the tension (T) increases, the fundamental goes: (circle one) up down 3. If only the linear mass density increases, the fundamental goes: (circle one) up down 4. The tension (T) in a string fixed across a 1 m length (L) is 400 Newtons, and the linear mass density of the string is 0.01 kg/m....

Which of this method of class String is used to obtain a length of String object?...

Which of this method of class String is used to obtain a length of String object? What is the output of the below Java program with WHILE, BREAK and CONTINUE? int cnt=0; while(true) { if(cnt > 4) break; if(cnt==0) { cnt++; continue; } System.out.print(cnt + ","); cnt++; } 1,2,3,4 Compiler error 0,1,2,3,4, 1,2,3,4,

Project: Given a string s and an integer array indices of the same length. The string...

Project: Given a string s and an integer array indices of the same length. The string s will be shuffled such that the character at the i th position moves to indices[i] in the shuffled string. Return the shuffled string. Example: Input: s = "codeleet", indices = [4,5,6,7,0,2,1,3] Output: "leetcode" Explanation: As shown, "codeleet" becomes "leetcode" after shuffling. You need to do: Create a class called ShuffledStringApp. Keeping class StringOperation and IO in util package. In this project, you will...

Recall that a 5-bit string is a bit strings of length 5, and a bit string...

Recall that a 5-bit string is a bit strings of length 5, and a bit string of weight 3, say, is one with exactly three 1’s. a. How many 5-bit strings are there? b. How many 5-bit strings have weight 0? c. How many 5-bit strings have weight 1? d. How many 5-bit strings have weight 2? e. How many 5-bit strings have weight 4? f. How many 5-bit strings have weight 5? g. How many 5-bit strings have weight...

1. The speed of the wave on your Cello string is: 90 m/s The length of...

1. The speed of the wave on your Cello string is: 90 m/s The length of your string is: 690 mm Keep in mind that the wavelength (λ), the frequency (f) and the wave speed (v) are related according to v = f λ. (a) Draw the shapes of the motion of the string for vibration that your string will produce when plucked or bowed (up to the 6th Harmonic). (Of course, a plucked or bowed string will vibrate in...

Consider an elastic string of length L whose ends are held fixed. The string is set...

Consider an elastic string of length L whose ends are held fixed. The string is set in motion with no initial velocity from an initial position u(x, 0) = f(x). Let L = 10 and a = 1 in parts (b) and (c). (A computer algebra system is recommended.) f(x) = 16x L , 0 ≤ x ≤ L 4 , 4, L 4 < x < 3L 4 , 16(L − x) L , 3L 4...

Question