Physics, 19.06.2020 03:57 jdkrisdaimcc11

In testing an automobile tire for proper alignment, a technician marks a spot on the tire 0.190 m from the center. He then mounts the tire in a vertical plane and notes that the radius vector to the spot is at an angle of 33.0° with the horizontal. Starting from rest, the tire is spun rapidly with a constant angular acceleration of 1.50 rad/s2. (Assume the spot's position is initially positive, and assume the angular acceleration is in the positive direction.) (a) What is the angular speed of the wheel after 1.20 s? rad/s

Answers: 3

Show answers

Answers

Answer from: datzmypupppup

Complete Question

In testing an automobile tire for proper alignment, a technician marks a spot on the tire 0.190 m from the center. He then mounts the tire in a vertical plane and notes that the radius vector to the spot is at an angle of 33.0° with the horizontal. Starting from rest, the tire is spun rapidly with a constant angular acceleration of 1.50 rad/s2. (Assume the spot's position is initially positive, and assume the angular acceleration is in the positive direction.)

(a) What is the angular speed of the wheel after 1.20 s? rad/s

b) What is the tangential speed of the spot after 1.20 s?

(d) What is the angular position of the spot after 1.20 s?

w = 1.8 rad/sec

$v =0.342 \ m/s$

$a_r = 0.6156\ m/s^2$

$\theta = 1.656 \ rad$

Explanation:

From the question we are told that

The distance of the spot from the center is $r = 0.190 \ m$

The angle of the radius vector with the horizontal is $\theta_o = 33^o = \frac{33\pi}{180} rad$

The acceleration is $\alpha = 1.50 \ rad/s^2$

The angular speed of the wheel after 1.20 s is mathematically represented as

$w =w_o + \alpha t$

Where w_o is the initial angular speed of the wheel which is zero

Substituting values

w = 0 + 1.5(1.20)

w = 1.8 rad/sec

the tangential speed of the spot after 1.20 is mathematically represented as

v = r w

substituting values

v = 0.190 * 1.8

$v =0.342 \ m/s$

The magnitude of the total acceleration of the spot after 1.30 s is mathematically represented as

$a = \sqrt{a_r ^2 + a_t ^2}$

The radial acceleration is

$a_r = \frac{v^2}{r}$

substituting values

$a_r = \frac{(0.342)^2}{0.190}$

$a_r = 0.6156\ m/s^2$

The tangential acceleration is

$a_t = r \alpha$

substituting values

a_t = 0.19 * 1.5

$a_t = 0.285 \ m/s^2$

=> $a = \sqrt{0.6156^2 + 0.285 ^2}$

$a = 0.6784 \ m/s^2$

the angular position of the spot after 1.20 s is mathematically represented as

$\theta = \theta _o + w_ot + \frac{1}{2} \alpha t^2$

substituting values

$\theta = \frac{33 \pi}{180} + 0 + 0.5 * 1.5 * 1.2^2$

$\theta = 1.656 \ rad$

Answer from: Quest

the answer is a 3.8cm

explanation:

An object is located 5.0 cm from a concave mirror. the focal length is 15.0 cm. what is the image di

Answer from: Quest

the answer is a. hope this .

Another question on Physics

Physics, 22.06.2019 15:30

What are the similarities & differences between a thermistor and a light dependent resistor in physics?

Answers: 2

Answer

Physics, 22.06.2019 16:00

Rank the six combinations of electric charges on the basis of the electric force acting on q1. define forces pointing to the right as positive and forces pointing to the left as negative. rank positive forces as larger than negative forces. q1,q2,q3 = positive(+) q1 = + q2 = + q3 = - q1 = + q2= - q3= + q1= - q2= + q3= + q1= + q2= - q3= - q1,q2,q3 = negative

Answers: 1

Answer

Physics, 22.06.2019 16:30

When measuring volume, why is it important to use the correct tools and units to attain the greatest accuracy? use specific examples from the lab to support your answer. (5 points)

Answers: 1

Answer

Physics, 22.06.2019 18:20

Awave with a frequency of 500 hz is traveling at a speed of 100 m/s.what is the wavelength?

Answers: 1

Answer

You know the right answer?

In testing an automobile tire for proper alignment, a technician marks a spot on the tire 0.190 m fr...

Questions