The bearing shows the angle from north to the line (c), you want to see the angle inside the triangle so that will be 90-[bearing].
<span>a=42 (42 mph wind blowing north) </span>
<span>A= 90-74.9 </span>
<span>A= 15.1 degrees </span>
<span>Ground speed is the speed the plane is going including the wind. </span>
<span>ground speed = c </span>
<span>Airspeed = b </span>
<span>You have the angle, and you have the "Opposite" and want to find the "Hypotenuse". </span>
<span>SOH CAH TOA </span>
<span>Sin x = Opp/Hypot </span>
<span>Sin(15.1) = 42/c </span>
<span>c = 42/Sin(15.1) </span>
<span>c = 161.53 </span>
<span>Ground speed of the plane is 161.53 mph </span>
<span>Airspeed = b </span>
<span>Tan x = Opp/Adj </span>
<span>Tan (15.1) = 42/b </span>
<span>b = 42/Tan(15.1) </span>
<span>b = 161.53 </span>
<span>Airspeed = 161.53 mph </span>
<span>(so the answer is ground speed of 161.53mph)</span>
Answer:
24 N
Explanation:
Given,
Unstretched length or original length , x1 = 12cm
Stiffness constant, k = 8 N/cm
Load required to take spring to a length , x2 of 15cm
Recall the relation :
F = Ke
Where, e = extension
e = x2 - x1
e = (15 - 12) = 3
F = ke
F = 8 N/cm * 3cm
F = 24 N/cm*cm
F = 24 N
Hence, required load = 24 N
Answer:
"2Ω" is the net resistance in the circuit.
Explanation:
The given resistors are:
R1 = 3Ω
R2 = 6Ω
The net resistance will be:
⇒
On substituting the values, we get
⇒
On taking L.C.M, we get
⇒
⇒
⇒
On applying cross-multiplication, we get
⇒
Answer:
The effect of the angle between force and displacement on work.
Explanation:
When the angle between the force and displacement = zero , The work done is maximum when the direction of force is the same as the direction of displacement , such as a person pulling an object through a certain distance .
Hope that this helps you and have a great day :)
Answer:
Period, T = 27.84 seconds
Explanation:
Given the following data;
Length of pendulum = 2m
We know that acceleration due to gravity on earth is equal to 9.8 m/s²
To find the period of oscillation of the simple pendulum;
Mathematically, it is given by the formula;
Substituting into the equation, we have;
Period, T = 27.84 seconds