A helicopter blade starts to rotate from rest with a constant angular acceleration of \alpha=\: α...

Question

Question

A helicopter blade starts to rotate from rest with a constant angular acceleration of \alpha=\: α...

A helicopter blade starts to rotate from rest with a constant angular acceleration of \alpha=\:

α

=

0.76 radians/second2. How many revolutions will the blade make before it is rotating at 500 revolutions per minute (RPM)?

science physics

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

w_f = 500 * 2 pi / 60 = 52.35 rad/s

w_f² - w_i2 = 2 * alpha * theta

52.35² = (2 * 0.76 * n * 2 pi)

n = 52.35² / (2 * 0.76 * 2 pi)

n = 287 rev

Add a comment

Answer 2

Similar Homework Help Questions

A helicopter blade starts to rotate from rest with a constant angular acceleration of \alpha=\: α...

A helicopter blade starts to rotate from rest with a constant angular acceleration of \alpha=\: α = 0.65 radians/second2. How many revolutions will the blade make before it is rotating at 500 revolutions per minute (RPM)?
A discus thrower starts from rest and begins to rotate with a constant angular acceleration of...

A discus thrower starts from rest and begins to rotate with a constant angular acceleration of 2.5 rad/s2 . Part A:How many revolutions does it take for the discus thrower's angular speed to reach 6.3 rad/s ? Part B: How much time does this take?
Problem 1: A wheel starts from rest and rotates with constant angular acceleration and reaches an...

Problem 1: A wheel starts from rest and rotates with constant angular acceleration and reaches an angular velocity of 32.0 rad/s in 4.00 s. (a) What is the magnitude of the angular acceleration of the wheel? (b) Through what angle does the wheel rotate in these 4.00 s? Problem 2: An automobile traveling at 90.0 km/hour, has tires of 75.0 cm diameter. (a) What is the angular velocity of the tires about the axis of rotation? (b) If the car...

A fan blade starts at rest and begins moving with a constant angular acceleration of 2.00...

A fan blade starts at rest and begins moving with a constant angular acceleration of 2.00 rad/s2. The blade rotates through an angle of 285 radians in an 11.0 s interval that did not start at t = 0s. How long did it take the blade to reach the beginning of the 11.0-s interval? Answer must be in seconds.
1. A centrifuge starts from rest. Its angular acceleration α is constant for 12 s. Its...

1. A centrifuge starts from rest. Its angular acceleration α is constant for 12 s. Its final angular speed is ω = 210 revolutions per second. What is its angular acceleration α in units of s-2? 2. A wheel with moment of inertia 0.06 kgm2 rotates about a fixed axis. Its kinetic energy is 397 J. What is ts angular speed ω in s-1?
a) The rotor of a helicopter is gaining angular speed with constant angular acceleration. At t...

a) The rotor of a helicopter is gaining angular speed with constant angular acceleration. At t = 0 it is rotating at 1.25 rad/s. From t = 0 to t = 2.00 s, the rotor rotates through 8.00 rad. What is the angular acceleration of the rotor? b) Through what angle (in radians) does the rotor rotate from t = 0 to t = 4.00 s? in radians c) Shortly after a vinyl record (radius 0.152 m) starts rotating on...

1. A centrifuge starts from rest and reaches an angular velocity of 30000 rpm in 5s. What is the angular acceleration(in...

1. A centrifuge starts from rest and reaches an angular velocity of 30000 rpm in 5s. What is the angular acceleration(in rad/s2) of this device? 2. A flywheel rotating at 20 rpm undergoes an angular acceleration of 2.0 rad/s2 for precisely 5 revolutions. What is the angular velocity of the flywheel at the end of this acceleration?
1)A dentist's drill starts from rest. After 4.00 s of constant angular acceleration it turns at...

1)A dentist's drill starts from rest. After 4.00 s of constant angular acceleration it turns at a rate of 2.00 ✕ 104 rev/min. a)Find the drills angular acceleration ____rad/s^2 b) Determine the angle (in radians) through which the drill rotates during this period____rad 2)The tub of a washer goes into its spin-dry cycle, starting from rest and reaching an angular speed of 5.0 rev/s in 10.0 s. At this point, the person doing the laundry opens the lid, and a...
2. A bar on a hinge starts from rest and rotates with an angular acceleration α...

2. A bar on a hinge starts from rest and rotates with an angular acceleration α (10 + 61), where α is in rad/s" and 1 is in seconds. Determine the angle in radians through which the bar turns in the first 4.00 s. 4. A dentist's drll starts from rest. After 3.20 s of constant an- gular acceleration, it turns at a rate of 2.51 × 104 rev/min. (a) Find the drill's angular acceleration. (b) Determine the angle (in...

A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed...

A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of 12 rad/s in 3.0 s. Find (a) the magnitude of the angular acceleration of the wheel and (b) the angle in radians through which it rotates in this time interval.

A helicopter blade starts to rotate from rest with a constant angular acceleration of \alpha=\: α...

Homework Answers