daniella1304
11.02.2021 •
Physics
A transverse standing wave is set up on a string that is held fixed at both ends. The amplitude of the standing wave at an antinode is 2.20 mm and the speed of propagation of transverse waves on the string is 260 m/s. The string extends along the x-axis, with one of the fixed ends at x= 0, so that there is a node at x =0. The smallest value of x where there is an antinode is x= 0.150m.
Required:
a. What is the maximum transverse speed of a point on the string at an antinode?
b. What is the maximum transverse speed of a point on the string at x = 0.075 m?
Solved
Show answers
More tips
- A Auto and Moto Experience the World of the Most Expensive Cars on the Planet...
- S Style and Beauty How to Get Rid of a Double Chin?...
- F Food and Cooking How to Cook Julienne? Recipes and Tips...
- D Dating, Love, Relationships 10 Useful Tips on How to Survive a Breakup?...
- F Food and Cooking Apple Cider Vinegar: The Ultimate Health and Beauty Solution...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
Answers on questions: Physics
- P Physics Can someone please explain why the answer to this net torque question is +115 Nm...
- P Physics Which object is hotter in terms of its kinetic energy: the cup of coffee or the iceberg? Explain in terms of the kinetic molecular theory of matter....
- P Physics What is the adaptation to the arctic fox...
- P Physics The phases of the moon depend on how much of the lighted side of the moon can be seen from earth....
- H Health Which of the following is TRUE about stress? A. Stress is only produced by externally imposed factors and is always negative. B. Stress is a mental and physical response...
- M Mathematics Car A starts in Sacramento at 11am. It travels along a 400 mile route to Los Angeles at 40 mph. Car B starts from Los Angeles at noon and travels to Sacramento along the...
- H History This part of the First Amendment guarantees your right to gather with other people to express your common interests or opinions....
- S Social Studies Kahneman and Tversky (1973) found that a majority of participants mistakenly believed there were more words in the English language that start with the letter r than words...
- B Business (Use midpoint formula) Assume that the price elasticity of demand for JT Chip Co. chips is 4.0 (in absolute value). If the company decreases the price of each bag of chips...
- M Mathematics Traveled 2906 miles in 6 days interpret the remainder...
Ответ:
a) the maximum transverse speed of a point on the string at an antinode is 5.9899 m/s
b) the maximum transverse speed of a point on the string at x = 0.075 m is 4.2338 m/s
Explanation:
Given the data in the question;
as the equation of standing wave on a string is fixed at both ends
y = 2AsinKx cosωt
but k = 2π/λ and ω = 2πf
λ = 4 × 0.150 = 0.6 m
and f = v/λ = 260 / 0.6 = 433.33 Hz
ω = 2πf = 2π × 433.33 = 2722.69
given that A = 2.20 mm = 2.2×10⁻³
so = A × ω
= 2.2×10⁻³ × 2722.69 m/s
= 5.9899 m/s
therefore, the maximum transverse speed of a point on the string at an antinode is 5.9899 m/s
b)
A' = 2AsinKx
= 2.20sin( 2π/0.6 ( 0.075) rad )
= 2.20 sin( 0.7853 rad ) mm
= 2.20 × 0.706825 mm
A' = 1.555 mm = 1.555×10⁻³
so
= A' × ω
= 1.555×10⁻³ × 2722.69
= 4.2338 m/s
Therefore, the maximum transverse speed of a point on the string at x = 0.075 m is 4.2338 m/s
Ответ:
Its A
Explanation:
edge 2020