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lubasha [3.4K]
2 years ago
14

An 85 kg man stands in a very strong wind moving at 15 m/s at torso height. As you know, he will need to lean in to the wind, an

d we can model the situation to see why. Assume that the man has a mass of 85 kg, with a center of gravity 1.0 m above the ground. The action of the wind on his torso, which we approximate as a cylinder 50 cm wide and 90 cm long centered 1.2 m above the ground, produces a force that tries to tip him over backward. To keep from falling over, he must lean forward.
Required:
a. What is the magnitude of the torque provided by the wind force? Take the pivot point at his feet. Assume that he is standing vertically.
b. At what angle to the vertical must the man lean to provide a gravitational torque that is equal to this torque due to the wind force?
Physics
1 answer:
PSYCHO15rus [73]2 years ago
3 0

Answer:

  a) T= 72.9 Nm

  b)      \Theta = 5 \textdegree

Explanation:

From the question we are told that

Mass 85kg

Speed 15m/s

Center of gravity 1.0m

Cylinder 50 cm wide and 90 cm long centered 1.2 m above the ground

a)Generally equation for force is given by

   F = 0.5 p A v^2

Mathematically solving for force exacted

   F = 0.5*1.2*0.9*0.5*15^2

   F= 60.75 N

Mathematically solving for torque

Torque,

    T = r * F

    T=1.2*60.75

   T= 72.9 Nm

b)Generally in solving for \theta

   Tan\theta = Torque/(Mass * Gravity)

   Tan\theta = (72.9)/(85 * 9.8)

     \Theta = 5 \textdegree

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natali 33 [55]

Answer:. Option c

Explanation: the speed of an electromagnetic wave is simply the vector product of the magnetic field and the electric field.

The direction of the velocity is the direction of the electromagnetic wave.

The wave is already moving towards the negative y axis (-j) and the magnetic field is already pointing towards the positive x axis (i)

From cross product of unit vectors

i × j = k

i × k = - j

With the second identity, we can see that the electric field will be pointing towards the positive of the x axis (k).

Option c is validated

4 0
2 years ago
A particle that has mass m and charge q enters a uniform magnetic field that has magnitude B and is directed along the x axis. T
Usimov [2.4K]

Answer:

a) The trajectory will be a helical path.

b) θ = 2*π rad

Explanation:

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b) Given

t = 2*π*m/(q*B)

We can use the equation

θ = ω*Δt

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θ is the angular displacement

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ω = q*B/m

then we have

θ = (q*B/m)*2*π*m/(q*B)

⇒  θ = 2*π rad

6 0
3 years ago
An object wants to maintain its state of motion because it has mass. True or false
OverLord2011 [107]

Answer:

True

Explanation:

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8 0
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Tcecarenko [31]
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Hope this helps :)
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3 years ago
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strojnjashka [21]

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7 0
3 years ago
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