All categories

3 years ago

3. Two fans blow at 5 ms^-1 in a easterly direction and 8ms^-1 in a Northerly

Physics

1 answer:

Anvisha [2.4K]3 years ago

3 0

Addition of vectors is done by adding the components of the vectors

The total speed of the fan is approximately 9.43 m/s,

Direction of total wind 58° counterclockwise from the positive x-axis

The reason the value is correct is as follows:

The given parameters are:

The direction at which the fan blowing at 5 m/s is blowing = Easterly

The direction in which the fan blowing 8 m/s is blowing = Northerly

The total speed of the van, |v| ≈ 9.43 m/s

Required:

To find the total wind speed of the fans

Solution:

Taken the easterly direction as the ith component, and the northerly direction as the jth component, the vector representing the speed of the fan is presented as follows

v = 5·i + 8·j

The magnitude of the total wind speed of the fan, |v| = √(5² + 8²) = √(89) ≈ 9.43

The total wind speed of the fan , |v| ≈ 9.43 m/s

The direction of the total speed with respect to the x-axis, θ, is given as follows;

θ = arctan(8/5) ≈ 58°

Learn more about addition of vectors here:

brainly.com/question/17691926

You might be interested in

Without Newton’s third law of motion, what would an object sitting on a table do?

Angelina_Jolie [31]

Newton's third law: If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A. This law represents a certain symmetry in nature: forces always occur in pairs, and one body cannot exert a force on another without experiencing a force itself.

8 0

3 years ago

Read 2 more answers

Enrico is having trouble telling the difference between the sound of a tuba and the sound of a piccolo. Even though a piccolo pr

Nonamiya [84]

Answer: Pitch

Explanation:

Pitch of sound is defined as the factor that monitors the sound quality through produced vibrations rate.It helps in determination of sounds tone in terms highness or lowness.

According to the question,Enrico is finding difficulty in judging the difference between pitch sound of tuba and piccolo as per their tone in terms of high or low.

4 0

3 years ago

A car starting from rest accelerates uniformly at 4.3 m/s^2 for 5.0 seconds. How far does the car move?

andreev551 [17]

Answer:

Vf = 21.5 [m/s]

Explanation:

To solve this problem we must use the following kinematics equation:

$v_{f}= v_{i} +(a*t)\\$

where:

Vf = final velocity [m/s]

Vi = initial velocity = 0

a = aceleration = 4.3 [m/s^2]

t = time = 5 [s]

Now replacing:

Vf = 0 + (4.3*5)

Vf = 21.5 [m/s]

8 0

3 years ago

John recently suffered a blow to his head. Since then, he finds it difficult to comprehend what others say to him. He also finds

katovenus [111]

Answer: Wernicke's aphasia

Explanation:

John recently suffered a blow to his head. Since then, he finds it difficult to comprehend what others say to him. He also finds it difficult to express his thoughts and cannot seem to find the right words to say while speaking. However, he can speak freely with proper syntax. In this scenario, John is most likely suffering from Wernicke's aphasia.

Wernicke's aphasia occurs when the leftward side of the middle of the brain is damaged or has been altered. An individual who suffers from Wernicke's aphasia will have difficulty in speaking in meaningful and coherent sentences or may have difficulty in understanding the speech of others.

6 0

3 years ago

A flight stimulator helps prepare for the shuttle lunch is an example of what

aniked [119]

Scientific model :/

5 0

4 years ago