Ask question

Ask question

All categories

3 years ago

12

A force vector has a magnitude of 599 newtons and points at an angle of 40.8° below the positive x axis. What is the x scalar co

mponent?

1 answer:

ASHA 777 [7]3 years ago

3 0

Answer:

$F_{x}=453.44N$

Explanation:

Given data

Force F=599 N

Angle α=40.8°

To find

x scalar component

Solution

The Scalar x component can be found by

$F_{x}=FCos\alpha \\F_{x}=599Cos(40.8)\\F_{x}=453.44N$

The Scalar y component can be found by

$F_{y}=-FSin\alpha \\F_{y}=-599Sin(40.8)\\F_{y}=-391.4N$

You might be interested in

A gyroscope flywheel of radius 3.21 cm is accelerated from rest at 13.2 rad/s2 until its angular speed is 2450 rev/min.

SIZIF [17.4K]

Answer:

Part a)

$a_t = 0.423 m/s^2$

Part b)

$a_c = 2113 m/s^2$

Part c)

$d = 80 m$

Explanation:

Part a)

as we know that angular acceleration of the wheel is given as

$\alpha = 13.2 rad/s^2$

now the radius of the wheel is given as

R = 3.21 cm

so the tangential acceleration is given as

$a_t = R\alpha$

$a_t = (0.0321)(13.2)$

$a_t = 0.423 m/s^2$

Part b)

frequency of the wheel at maximum speed is given as

$f = 2450 rev/min$

$f = \frac{2450}{60} = 40.8 rev/s$

now we know that

$\omega = 2\pi f = 2\pi(40.8) = 256.56 rad/s$

now radial acceleration is given as

$a_c = \omega^2 r$

$a_c = (256.56)^2(0.0321) = 2113 m/s^2$

Part c)

total angular displacement of the point on rim is given as

$\Delta \theta = \omega_0 t + \frac{1}{2}\alpha t^2$

here we know that

$\omega = \omega_0 + \alpha t$

$256.56 = 0 + 13.2 t$

$t = 19.4 s$

now angular displacement will be

$\Delta \theta = 0 + \frac{1}{2}(13.2)(19.4)^2$

$\Delta \theta = 2493.3 rad$

now the distance moved by the point on the rim is given as

$d = R\theta$

$d = (0.0321)(2493.3)$

$d = 80 m$

7 0

3 years ago

According to Howard Gardner's theories, who among the following would need to have good linguistic intelligence to be successful

Veseljchak [2.6K]

A psychologist will need to have good linguistic intelligence in other to be successful.

<h3>Who is a Psychologist?</h3>

This is referred to as a professional who specializes in the handling of mental health challenges in individuals.

It is best for such professional to have a good linguistic intelligence as the right words being said to the patient will solve the problem thereby bringing in more success.

Read more about Linguistic intelligence here brainly.com/question/15360566

#SPJ1

7 0

2 years ago

In a recent survey, state voters said they were not pleased with the conditions of roads. They would like to see current roads i

topjm [15]

They are saying that they would like to see new roads and improvements, but they refuse to pay for it by giving up more money in taxes. Hope this helps :)

4 0

3 years ago

Nitrogen condenses at -196 °C and freezes at -210 °C. At which of the

maksim [4K]

Answer:

-200°C

Explanation:

This is because at -200°C the temperature is below -196°C and above -210°C .Thus Nitrogen can be in liquid state.

5 0

3 years ago

Which answer is a scientifically accurate description of velocity?

Lyrx [107]

The boat traveled from the dock north to the 200-meter marker in the bay in less than 5 minutes, giving the passengers several more hours to fish.

Explanation:

Velocity is the rate of change of displacement with time. It is a physical quantity that has both magnitude and direction.

When expressing velocity, we must consider the directional attribute as it distinguishes it from speed.

Statements:

The hiker began hiking the park's five-mile north hiking trail at 8:00 a.m. with plenty of daylight left to complete the hike before dark.

We are given the displacement of the hiker but the duration of traveling was not indicated. The starting time is known and there is nothing we can infer from it

The motorcyclist traveled along a highway at 55 mph and reached the campsite in less than the two-hour estimated time.

55mph is the speed of the motorcyclist and not velocity. There was no directional attribute.

Walking south along the two-mile canyon trail generally takes less time than traveling the same trail north because walking south is all downhill

This is not quantifiable.

The boat traveled from the dock north to the 200-meter marker in the bay in less than 5 minutes, giving the passengers several more hours to fish.

The 200m marker north is the displacement and the time is 5minutes. This is the most scientifically accurate description of velocity.

Learn more:

Motion brainly.com/question/10883914

#learnwithBrainly

4 0

3 years ago