Question

a flywheel of diameter 37.5 cm starts from rest and accelerates to an angular velocity of...

a flywheel of diameter 37.5 cm starts from rest and accelerates to an angular velocity of 900 rpm in 5.38 seconds. find the magnitude of the total acceleration at 1.62 seconds.

Homework Answers

Answer #1

Diameter d = 37.5 cm = 0.375 m

Radius r = d/ 2

= 0.1875 m

Initial angular speed w = 0

Angular speed after 5.38 s is w ' = 900 rpm

= 900 x2(pi) rad / 60 s

= 94.24 rad/s

time t = 5.38 s

Angular accleration = (w ' - w ) / t

= 94.24 / 5.38

= 17.51 rad/s 2

Angular speed at 1.62 s is w " = w + t '

w " = 0 +(17.51)(1.62)

= 28.37 rad/s

Centripetal acceleration a ' = rw" 2 = (0.1875)(28.37) 2

= 151 m/s 2

Tangential accleration a = r

= 0.1875 x 17.51

= 3.283 m/s 2

the magnitude of the total acceleration at 1.62 seconds = [a 2 + a' 2]

= 151.03 m/s 2

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A flywheel with a radius of 0.500 mm starts from rest and accelerates with a constant...
A flywheel with a radius of 0.500 mm starts from rest and accelerates with a constant angular acceleration of 0.800 rad/s^2. 1) Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0. 2) Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 120.0.
A flywheel with a radius of 0.700 m starts from rest and accelerates with a constant...
A flywheel with a radius of 0.700 m starts from rest and accelerates with a constant angular acceleration of 0.500 rad/s2 . A). Compute the magnitude of the resultant acceleration of a point on its rim at the start B). Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 60.0 ∘. C). Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 120.0
A flywheel with a radius of 0.200 m starts from rest and accelerates with a constant...
A flywheel with a radius of 0.200 m starts from rest and accelerates with a constant angular acceleration of 0.400 rad/s2 . Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0 ?. Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 120.0 ?. Compute the magnitude of the radial acceleration of a point on its rim after it has turned through...
A flywheel with a radius of 0.500 m starts from rest and accelerates with a constant...
A flywheel with a radius of 0.500 m starts from rest and accelerates with a constant angular acceleration of 0.800 rad/s2 . 1) Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 60.0. (m/s^2) 2) Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 120.0. (m/s^2)
A flywheel with a radius of .340 m starts from rest and accelerates with a constant...
A flywheel with a radius of .340 m starts from rest and accelerates with a constant angular acceleration of .730 rad/ s2. A) compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim at the start. B) compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim after it has turned through 60.0. C) compute the magnitude of the tangential...
A flywheel with a radius of 0.360 mm starts from rest and accelerates with a constant...
A flywheel with a radius of 0.360 mm starts from rest and accelerates with a constant angular acceleration of 0.610 rad/s2 Part A Compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim at the start. Enter your answers separated with commas. Part B Compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim after it has turned through 60.0...
A flywheel with a radius of 0.200 m starts from rest and accelerates with a constant...
A flywheel with a radius of 0.200 m starts from rest and accelerates with a constant angular acceleration of 0.400 rad/s2 . a)Compute the magnitude of the tangential acceleration of a point on its rim at the start. b)Compute the magnitude of the radial acceleration of a point on its rim at the start. -------------------- c) Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 ∘. d)Compute the magnitude of...
A 70.0-cm diameter flywheel is initially rotating clockwise at 100 rpm. It then undergoes a constant...
A 70.0-cm diameter flywheel is initially rotating clockwise at 100 rpm. It then undergoes a constant counterclockwise angular acceleration of 2.50 radians per square second for 5.00 seconds. a) What is the magnitude of the initial angular velocity in units of radians per second?   b) What are the magnitude and direction of the final angular velocity of the flywheel at the end of the 5.00 second interval in units of rad/s?    c) What is the magnitude of the net angle...
A flywheel with a radius of 0.500 m starts from rest and accelerates with a constant...
A flywheel with a radius of 0.500 m starts from rest and accelerates with a constant angular acceleration of 0.700 rad/s2 . 1.Compute the magnitude of the tangential acceleration of a point on its rim at the start. 2.Compute the magnitude of the radial acceleration of a point on its rim at the start. 3.Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 ?. 4.Compute the magnitude of the radial...
A child on the outside edge of a carousel, diameter 8.0m, accelerates from rest to a...
A child on the outside edge of a carousel, diameter 8.0m, accelerates from rest to a final angular velocity of 2 revolutions per minute in 10.0s. Assume constant angular acceleration. a. What is the tangential acceleration on the child during the 10s? b. Find the magnitude of the child's total acceleration (centripetal and tangential) at 5.0s.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • what type of graph is best suitable for data obtained from customer ratings. The ratings are...
    asked 1 minute ago
  • Determine the cumulative 15-year 18 kip ESAL’s in the design lane for 2-lane highway for the...
    asked 9 minutes ago
  • Q: Dr.Grimace, the evil dentist, is trying to find out if his patients suffer from periodontal...
    asked 9 minutes ago
  • After collecting data on 19283 dogs, you find that male vallhunds have an average weight of...
    asked 11 minutes ago
  • Research Target Corporation and assess your satisfaction with the company you researched and make recommendations about...
    asked 12 minutes ago
  • Evidence suggests that 70% of FSU students like turtles. Suppose we randomly sampled 15 FSU students....
    asked 12 minutes ago
  • Ulrich challenges the appropriateness of the nearly universal symbolism of the spinning wheel as the marker...
    asked 13 minutes ago
  • Differential Equations: Please try to computer type, if not possible be clear and organize. Thank you...
    asked 13 minutes ago
  • In your opinion, what are the three (3) most important benefits an employer can give to...
    asked 19 minutes ago
  • In a test of the effectiveness of garlic for lowering​ cholesterol, 81 subjects were treated with...
    asked 21 minutes ago
  • How does the 95% confidence interval correspond to the reported conclusion at a 0.05 significance level?...
    asked 22 minutes ago
  • 1) Consider the following Java program, which one of the following best describes "setFlavor"? public class...
    asked 22 minutes ago