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
ruslelena [56]
3 years ago
13

The bigclaw snapping shrimp shown in (Figure 1) is aptly named--it has one big claw that snaps shut with remarkable speed. The p

art of the claw that moves rotates through a 90∘ angle in 1.3 ms. We assume that the claw is 1.5 cm long and that it undergoes a constant angular acceleration. (you don't need figure to solve problem)
1. What is the angular acceleration? Assume the claw starts from rest.
Express your answer in radians per second squared.

2. What is the final angular speed of the claw?
Express your answer in radians per second.

3. What is the tangential acceleration of the tip of the claw?
Express your answer with the appropriate units.

4. How fast is the tip of the claw moving at the end of its motion?
Express your answer with the appropriate units.
Physics
1 answer:
leva [86]3 years ago
5 0

1) 1.86\cdot 10^6 rad/s^2

2) 2418 rad/s

3) 27000 m/s^2

4) 36.3 m/s

Explanation:

1)

The angular acceleration of an object in rotation is the rate of change of angular velocity.

It can be calculated using the following suvat equation for angular motion:

\theta=\omega_i t +\frac{1}{2}\alpha t^2

where:

\theta is the angular displacement

\omega_i is the initial angular velocity

t is the time

\alpha is the angular acceleration

In this problem we have:

\theta=90^{\circ} = \frac{\pi}{2}rad is the angular displacement

t = 1.3 ms = 0.0013 s is the time elapsed

\omega_i = 0 is the initial angular velocity

Solving for \alpha, we find:

\alpha = \frac{2(\theta-\omega_i t)}{t^2}=\frac{2(\pi/2)-0}{0.0013}=1.86\cdot 10^6 rad/s^2

2)

For an object in accelerated rotational motion, the final angular speed can be found by using another suvat equation:

\omega_f = \omega_i + \alpha t

where

\omega_i is the initial angular velocity

t is the time

\alpha is the angular acceleration

In this problem we have:

t = 1.3 ms = 0.0013 s is the time elapsed

\omega_i = 0 is the initial angular velocity

\alpha = 1.86\cdot 10^6 rad/s is the angular acceleration

Therefore, the final angular speed is:

\omega_f = 0 + (1.86\cdot 10^6)(0.0013)=2418 rad/s

3)

The tangential acceleration is related to the angular acceleration by the following formula:

a_t = \alpha r

where

a_t is the tangential acceleration

\alpha is the angular acceleration

r is the distance of the point from the centre of rotation

Here we want to find the tangential acceleration of the tip of the claw, so:

\alpha = 1.86\cdot 10^6 rad/s is the angular acceleration

r = 1.5 cm = 0.015 m is the distance of the tip of the claw from the axis of rotation

Substituting,

a_t=(1.86\cdot 10^6)(0.015)=27900 m/s^2

4)

Since the tip of the claw is moving by uniformly accelerated motion, we can find its final speed using the suvat equation:

v=u+at

where

u is the initial linear speed

a is the tangential acceleration

t is the time elapsed

Here we have:

a=27900 m/s^2 (tangential acceleration)

u = 0 m/s (it starts from rest)

t = 1.3 ms = 0.0013 s is the time elapsed

Substituting,

v=0+(27900)(0.0013)=36.3 m/s

You might be interested in
Rain that tends to fall in bands on earth is caused by which of the following?
dem82 [27]
Rain that tends to fall in bands on earth is usually caused by : Warm, moist air rising and cooling
First, the water on earth evaporate due to sun's heat and formed cloud. Later on, this water condensed and fall again on the earth. Completing the water cycle

hope this helps
4 0
3 years ago
Read 2 more answers
Explain how you can determine the direction of a magnetic field produced by a wire if you know the diection of the current throu
ololo11 [35]

Explanation:

Right hand thumb rule : Point the thumb of your right hand in the direction of the current flow, the direction of curvature of the fingers will give us the direction of the magnetic field produced by current carrying wire. This rule was given by Maxwell.

1) If the current is moving in upward direction , the direction of the magnetic field will be in anti clock wise direction.

2) If the current is moving in downward direction , the direction of the magnetic field will be in clock wise direction.

5 0
3 years ago
Read 2 more answers
6. When adding vectors graphically, the direction and length of each vector must:
Tanzania [10]

Answer:

Not be changed

Option: D

<u>Explanation:</u>

The physical quantity which has both ‘magnitude and direction’ is called vector. These vectors are represented by a line and an arrow, <em>the line represent the magnitude and arrow represent the direction of the physical quantity</em>. The vectors are added and subtracted according to the direction of the vectors.

According to the vector law addition while adding vectors direction and length of the vector is not be changed.<em> If the length of the vector changed the magnitude is also changed while so, while adding vectors length must not be changed. </em>

3 0
2 years ago
Why do some things float but others sink if they have the same mass?
Vsevolod [243]
It's called buoyancy. It is the tendency of an object to float
7 0
3 years ago
Read 2 more answers
Acceleration is defined as the rate of change for which of the following? Question 4 options: time position velocity displacemen
vovangra [49]

Acceleration can be defined as the rate of change in the velocity of an object. Option C is correct.

<h3>What is Acceleration?</h3>
  • It is defined as the rate of change in velocity.
  • It can also be defined as the rate of change in position in a particular direction.

a =  \dfrac {v-u}t\ \ \ \ \rmor}\\\\a = \dfrac {\Delta v }t

Where,

a - acceleration

\Delta v - change in velocity

t - time

Therefore, acceleration can be defined as the rate of change in the velocity of an object.

Learn more about Velocity:

brainly.com/question/2239252

4 0
2 years ago
Other questions:
  • Is the force of gravity stronger on a piece of crumpled paper or a normal piece of flat paper?
    8·1 answer
  • A person in a kayak starts paddling, and it accelerates from 0 to 0.65 m/s in a distance of 0.40 m. If the combined mass of the
    15·1 answer
  • True or false, As the frequency of an energy wave increases , so does its wavelength
    10·1 answer
  • A gry is an old English measure for length, defined as 1/10 of a line, where line is another old English measure for length, def
    6·1 answer
  • a 50- kg block of concrete is pulled upward (not sideways) with a force of 600 n =what is the acceleration
    5·1 answer
  • Which front is a head on collision or neither warm nor cold air moves
    7·1 answer
  • Which of the following equations are balanced correctly?
    14·1 answer
  • 4. What is the amplitude of the waves shown in the diagram below?
    10·1 answer
  • Write down the role played by four digestive juices in digestion and the
    10·1 answer
  • Help I'm desperate and need help ASAP I will give brainliest to whoever gets it correct.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!