Question

In: Physics

An airplane propeller starts from rest and 2 seconds later it is rotating with an angular...

An airplane propeller starts from rest and 2 seconds later it is rotating with an angular speed of 350 rev/min. If the angular acceleration is constant, calculate
(a) Itsangularacceleration.
(b)Howmanyrevolutionsdidthepropellerundergoduringthistime?

Solutions

Expert Solution

1 revolution = 2 radians

1 minute = 60 seconds

Initial angular speed of the propeller = 1 = 0 rad/s (Starts from rest)

Angular speed of the propeller after 2 sec = 2 = 350 rev/min = 350 x (2/60) rad/s = 36.652 rad/s

Time period = T = 2 sec

Angular acceleration of the propeller =

2 = 1 + T

36.652 = 0 + (2)

= 18.326 rad/s2

Angle through which the propeller rotates in these 2 sec =

= 1T + T2/2

= (0)(2) + (18.326)(2)2/2

= 36.652 rad

Number of revolutions made by the propeller in 2 sec = n

n = 5.833 rev

a) Angular acceleration of the propeller = 18.326 rad/s2

b) Number of revolutions made by the propeller in 2 sec = 5.833 rev

genius_generous answered 1 year ago
Next > < Previous

Related Solutions

An airplane propeller starts from rest and 2 seconds later it is rotating with an angular...
An airplane propeller starts from rest and 2 seconds later it is rotating with an angular speed of 350 rev/min. If the angular acceleration is constant, calculate (a) its angular acceleration. (b)how many revolutions did the propeller undergo during this time?
A helicopter propeller blade starts from rest and experiences a constant angular acceleration of 14.0 rad/s2....
A helicopter propeller blade starts from rest and experiences a constant angular acceleration of 14.0 rad/s2. Find the speed of a point on the blade 5.60 m from the axis of rotation when the blade has completed 13 revolutions.
A wheel, released from rest, is rotating with constant angular acceleration. After 8.0 seconds, its speed...
A wheel, released from rest, is rotating with constant angular acceleration. After 8.0 seconds, its speed reaches to 12 rev/sec (a) what is its angular acceleration? (b) Through what angle has the wheel turned? (c) How many revolutions has it completed in 8.0 second?
Q1:  Find the final angular velocity if a grinding wheel starts from rest and accelerates at 2...
Q1:  Find the final angular velocity if a grinding wheel starts from rest and accelerates at 2 rad/s^2. Q2:  If the grinding wheel has a mass of 60kg: a) Find its rotational inertia. b) Find the torque that produces the acceleration. c) Find angular momentum at the instant it has rotated for 8s. I am pretty much lost. Any help will be greatly appreciated.
A flywheel with a radius of 0.700m starts from rest and accelerates with a constant angular...
A flywheel with a radius of 0.700m starts from rest and accelerates with a constant angular acceleration of 0.200rad/s2 A. Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 60.0 ?. B. Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 120.0 ?.
1 point) A truck starts from rest and accelerates at 1?/?2 . 6 s later, a...
1 point) A truck starts from rest and accelerates at 1?/?2 . 6 s later, a car accelerates from rest at the same starting point with an acceleration of 2.7m/s2 . a) Where and when does the car catch the truck? m from the starting point at seconds from the moment the truck started to accelerate. b) What are their velocities when they meet? The truck : m/s The car : m/s
A brick falls from rest from the roof of a tall building. Two seconds later a...
A brick falls from rest from the roof of a tall building. Two seconds later a ball is thrown vertically downward with a velocity of 75m/s how far below the roof does the ball hit the brick?
The wheel of an engine starts to rotate from rest with uniform angular acceleration. It accelerates...
The wheel of an engine starts to rotate from rest with uniform angular acceleration. It accelerates angularly for an unknown time (t1) until reaching an angular velocity of 45.13 rad / s, then maintains that angular velocity constant for 37.8 s. The total angle traveled by the wheel in total is 2398.61 rad. a) What is the angular acceleration with which the wheel began to rotate? b) What is the time (t1) that the wheel was accelerating? c) What is...
The drive propeller of a ship starts from rest and accelerates at 2.99 x 10-3 rad/s2...
The drive propeller of a ship starts from rest and accelerates at 2.99 x 10-3 rad/s2 for 2.86 x 103 s. For the next 1.90 x 103 s the propeller rotates at a constant angular speed. Then it decelerates at 2.61 x 10-3 rad/s2 until it slows (without reversing direction) to an angular speed of 2.31 rad/s. Find the total angular displacement of the propeller.
The drive propeller of a ship starts from rest and accelerates at 2.56 x 10-3 rad/s2...
The drive propeller of a ship starts from rest and accelerates at 2.56 x 10-3 rad/s2 for 2.48 x 103 s. For the next 1.47 x 103 s the propeller rotates at a constant angular speed. Then it decelerates at 2.80 x 10-3 rad/s2 until it slows (without reversing direction) to an angular speed of 2.88 rad/s. Find the total angular displacement of the propeller.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT