1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AnnyKZ [126]
3 years ago
10

A merry-go-round initially at rest at an amusement park begins to rotate at time t=0. The angle through which it rotates is desc

ribed by θ(t)=πk(t+ke−t/k), where k is a positive constant, t is in seconds, and θ is in radians. The angular velocity of the merry-go-round at t=T is
Physics
1 answer:
cupoosta [38]3 years ago
5 0

Answer:

Angular velocity of merry-go-round is πk - 1 at t= T

Explanation:

From the question it is given that

\theta(t) = \pi k(t+k_e-\frac{t}{k} ) ..........................(1)

since mathematically, angular velocity is defined as

\omega(t) = \frac{d\theta(t)}{dt} ........................(2)

on substituing the value of θ(t) from equation 1 in equation (2) we get

\omega(t) = \frac{d\theta(t)}{dt} = \frac{d\pi k (t + k_e - \frac{t}{k} )}{dt}   ............................(3)

on differentiating equation (3) with respect to time we get

ω(t) = πk(1 -\frac{1}{k}) = πk - 1 angular velocity of merry-go-round

Therefore, angular velocity of merry-go-round is πk - 1 at t= T

You might be interested in
I’m a freshman, I got a 80% in the first quarter, 85% in the second and 70% in the third. I have a 46% in the fourth and 34 tota
Nadusha1986 [10]

Answer:

you will pass but if your grade become lower and u get more absences you will fail

5 0
3 years ago
To determine an epicentral distance scientists consider the arrival times of what wave types
Rudiy27
 The answer is P-waves and S-waves
3 0
3 years ago
A cyclist accelerates from 0m/s to 8m/s in 3 seconds.
garik1379 [7]

Answer:

the rate of acceleration is 2.6666(and so on) if thats your question

Explanation:

5 0
3 years ago
What are some charactersitics of pressure waves
True [87]
Soft target by impact and its contribution to indirect bone fractures.
7 0
3 years ago
A ball is kicked from a height of 20 meters above the ground. If the initial velocity is 10 m/s, how long is the ball in flight
nasty-shy [4]
S=20 m
v=10 m/s
t=s/v
= 20/10
= 2 s.
8 0
3 years ago
Other questions:
  • In a shot-put competition, a shot moving at 15m/s has 450J of mechanical kinetic energy. What is the mass of the shot? Please he
    7·1 answer
  • A substance is soluble in water. It is added into the water and dissolves. More solute continues being added until it reaches a
    9·1 answer
  • In which part of the ear is the sound wave converted into an electrical impulse?
    12·2 answers
  • Which of the following have exactly 5 significant figures?
    9·1 answer
  • The vectors of the magnetic field around a long, straight, current-carrying wire are:
    10·2 answers
  • An object has a net force. The net force points in the south west direciton. Knowing this, what can you can you conclude about t
    10·1 answer
  • A heat pump receives heat from a lake that has an average winter time temperature of 6o C and supplies heat into a house having
    10·1 answer
  • Consider these two characteristics.
    10·2 answers
  • A uniform metal meter-stick is balanced with a 1.0 kg rock attached to the left end of the stick. If the support is located 0.25
    6·1 answer
  • If I am lifting a box with a force of 100 N and the box has an acceleration of 10 N, what is the mass of the box?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!