Question
In: Physics
The four blades of a Blackhawk helicopter require 36 seconds to a maximum speed of 1800...
The four blades of a Blackhawk helicopter require 36 seconds to a maximum speed of 1800 rpms. An individual blade weight 64 kg and has a length of 5.2 m.
(a) Calculate how much power it takes to maintain a rotation of 1200 rpms.
(b) What is the total angular momentum of the helicopter’s blades during part a)
(c) When the helicopter blades rotate faster than the maximum rotation, the engine will over heat. If one of the blades broke off midflight (during part a), then determine whether or not the helicopter be in danger.
Solutions
genius_generous answered 2 years agoRelated Solutions
A helicopter has a rotor (radius R0) that rotates with constant angular speed ω. The helicopter...
A helicopter has a rotor (radius R0) that rotates with
constant angular speed ω. The helicopter is accelerating vertically
with constant acceleration A0, starting from rest. Using
cylindrical coordinates
a) Write the position vector of the tip of the rotor as a function
of time.
b) Find the velocity vector of the rotor tip as a function of time
by taking the derivative of the previous result.
c) Find the acceleration vector of the rotor tip as a function of...
A helicopter has two blades (see figure), each of which has a mass of 220 kg...
A helicopter has two blades (see figure), each of which has a
mass of 220 kg and can be approximated as a thin rod of length 6.7
m. The blades are rotating at an angular speed of 43 rad/s.
(a) What is the total moment of inertia of the two
blades about the axis of rotation? (a) Determine
the rotational kinetic energy of the spinning blades.
What is its maximum speed?
The piston in the cylinder head of a locomotive has a stroke (twice the amplitude) of 1.0 m. If the piston moves with simple harmonic motion with an angular frequency of 200 rad/min, what is its maximum speed?
The vanes of a helicopter has an angular speed of 60r/min. There are three vanes with...
The vanes of a helicopter has an angular speed of 60r/min. There
are three vanes with a length of 4.2 m and a width of 0.25m each.
The air is at a temperature of 15ºC. Transition takes place at
Recr = 3.2 e5 . Calculate the aerodynamic torque
required to overcome skin friction.
An automotive engine develops maximum torque at a speed of 1000 rpm At this speed, the...
An automotive engine develops maximum torque at a speed of 1000
rpm At this speed, the power developed by the engine is 25 kW. The
engine is equipped with a single plate clutch having two pairs of
friction surfaces. The mean diameter of the friction disk is 190 mm
and the coefficient of friction is 0.35. Six springs, with a spring
index of 6, provide the necessary axial force. The springs are made
of patented and cold-drawn steel wires of...
Assume a trapezoidal speed time curve and derive an expression for the maximum speed.
Assume a trapezoidal speed time curve and derive an expression
for the maximum speed.
The speed of a projectile when it reaches its maximum height is 0.56 times its speed...
The speed of a projectile when it reaches its maximum height is
0.56 times its speed when it is at half its maximum height. What is
the initial projection angle of the projectile?
The speed of a runner increased steadily during the first three seconds of a race. Her...
The speed of a runner increased steadily during the first three
seconds of a race. Her speed at half-second intervals is given in
the table. Find lower and upper estimates for the distance that she
traveled during these three seconds.
t (s)
0
0.5
1.0
1.5
2.0
2.5
3.0
v
(ft/s)
0
6.2
10.8
14.9
18.1
19.4
20.2
Part 1 of 5
We will use either L6 or
R6 for the upper and lower estimates.
Since the runner's speed is...
The speed of a runner increased steadily during the first three seconds of a race. Her...
The speed of a runner increased steadily during the first three
seconds of a race. Her speed at half-second intervals is given in
the table. Find lower and upper estimates for the distance that she
traveled during these three seconds.
ft (smaller value)
ft (larger value)
t
(s)
0
0.5
1.0
1.5
2.0
2.5
3.0
v
(ft/s)
0
6.7
11.2
14.1
17.5
19.8
20
The speed of a runner increased steadily during the first three seconds of a race. Her...
The speed of a runner increased steadily during the first three
seconds of a race. Her speed at half-second intervals is given in
the table. Find lower and upper estimates for the distance that she
traveled during these three seconds.
t (s)
0
0.5
1.0
1.5
2.0
2.5
3.0
v
(ft/s)
0
6.2
10.8
14.9
18.1
19.4
20.2
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