4. A small plane that travels with constant speed has a mass m = 1563 kg....

4. A small plane that travels with constant speed has a mass m = 1563 kg. This includes loading. The combined area of both wings is 16.3 m. Determine the speed of the wind by
above the wing if the wind speed below the wing is 153 m / s. The air density is 3
1.29 kg / m

Solutions

Expert Solution

answer = velovity at above = V₁ =157.689m/s

given vaues

mass= 1563kg

are of both wing =16.3m²

speed of air below the wind = 153 m / s

air density =1.29kg/m³

apply bernoullii theorem

¹/₂ V₁² + g y₁ + p₁ =¹/₂ V₂² + g y₂ + p₂

y1 and y2 =horizontal height

p1 andp2 = pressure

v1 and v2 = velocity of air at top and bottom

¹/₂ V₁² + p₁ =¹/₂ V₂² + p₂

¹/₂ V₁² -¹/₂ V₂² =p₂ - p₁

¹/₂ V₁² -¹/₂ V₂² =changing pressure

changing pressure =mg/A

¹/₂ (V₁² -V₂²) = mg/A

¹/₂ x 1.29x (V₁²-153²) =1563x9.8/16.3

V₁² -153²=(^2x1563x9.8/_16.3x1.29) = 1456.926

velovity at above = V₁ =157.689m/s

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A mass m = 1 kg is attached to a spring with constant k = 4...

A mass m = 1 kg is attached to a spring with constant k = 4 N/m and a dashpot with variable damping coefficient c. If the mass is to be pulled 5 m beyond its equilibrium (stretching the spring) and released with zero velocity, what value of c ensures that the mass will pass through the equilibrium position and compress the spring exactly 1 m before reversing direction? c =

A mass M travels at a speed V in the forward x- direction: It explodes into...

A mass M travels at a speed V in the forward x- direction: It explodes into two pieces: one with mass m1 the other with mass m2. The mass m1 moves at an angle φ1 above the x-axis and the mass m2 moves at an angle φ2 below the x-axis. Both angles are directed in the forward direction. Find the magnitues of the momenta of the two pieces in terms of M V and the two angles

4. A car of mass m is traveling with constant speed v around a circular banked...

4. A car of mass m is traveling with constant speed v around a circular banked road of radius R, see the side view and the free-body diagram. a) Apply Newton’s 2nd law to the car, i.e. write equations for the centripetal, angular, and vertical components of the net force. b) Determine the angle θ at which the road should be banked so that no static friction is required to drive the car. Now, include the static friction force FS...

A block of mass m = 3.5 kg is on an inclined plane with a coefficient...

A block of mass m = 3.5 kg is on an inclined plane with a coefficient of friction μ1 = 0.23, at an initial height h = 0.46 m above the ground. The plane is inclined at an angle θ = 42°. The block is then compressed against a spring a distance Δx = 0.11 m from its equilibrium point (the spring has a spring constant of k1 = 39 N/m) and released. At the bottom of the inclined plane...

A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is...

A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resis- tance numerically equal to the magnitude of the instanta- neous velocity. If the system is driven by an external force of (12 cos 3t − 8 sin 3t) N, determine the steady-state response. (a) Find the gain function if the external force is f(t) = cos(ωt). (b)...

A star is moving towards a moon. It has mass m = 0.22×109 kg and speed...

A star is moving towards a moon. It has mass m = 0.22×109 kg and speed v1 = 2.6×107 m/s at distance R1 = 2.9×107 m from the center of the moon. The radius of the moon is R = 0.86×107 m. The mass of the moon is M = 8.8×1025 kg. no air is around the moon. a. Calculate the gravitational potential energy PE1 of the star at R1. potential energy is zero at infinity. b. Calculate the total...

A small block with mass 0.0400 kg is moving in the xy-plane. The net force on...

A small block with mass 0.0400 kg is moving in the xy-plane. The net force on the block is described by the potential- energy function U(x,y)= (5.90 J/m2 )x2-(3.90 J/m3 )y3. a- What is the magnitude of the acceleration of the block when it is at the point x= 0.29 m , y= 0.66 m ? b- What is the direction of the acceleration of the block when it is at the point x= 0.29 m , y= 0.66 m...

A man on a bike of total mass 100 kg, is free-wheeling at a constant speed...

A man on a bike of total mass 100 kg, is free-wheeling at a constant speed of 15 ms-1 down a hill with a gradient of 10%. He wants to slow down to a safer speed, so he applies the brake lightly to produce a constant braking force of 84 N. The air resistance is proportional to the square of the speed. (a) Calculate the deceleration when his speed has dropped to 12 ms-1. (b) At what speed will his...

A loaded truck of mass 3000 kg moves on a level road at a constant speed...

A loaded truck of mass 3000 kg moves on a level road at a constant speed of 6.000 m/s. The frictional force on the truck from the road is 1000 N. Assume that air drag is negligible. (a) How much work is done by the truck engine in 10.00 min? (b) After 10.00 min, the truck enters a hilly region whose inclination is30∘and continues to move with the same speed for another 10.00 min. What is the total work done...

A meteoroid of mass = 555 kg has a speed of 90.0 m/s when 700 km...

A meteoroid of mass = 555 kg has a speed of 90.0 m/s when 700 km above the Earth. It is falling vertically (ignore air resistance) and strikes a bed of sand in which it is brought to rest in 3.49 m. (a) How much work does the force of gravity do on the meteoroid on the way to the surface? GJ (b) What is the speed of the meteoroid just before striking the sand? m/s (c) How much work...

Subjects