Answer:
Banking angle,
Explanation:
It is given that,
Radius of the curve, r = 52 m
Speed of the car, v = 12 m/s
Acceleration due to gravity,
Let the curved is banked at an angle of with respect to the horizontal. It is given by :
So, the curve is banked at an angle of 15.77 degrees wrt the horizontal. Hence, this is the required solution.
6. f = 128.62 , T= 0.0077775 s
7. f = 2.2 *
, T = 4.545 *
s
8. 32.64
9. 3.29 *
Explanation:
Step 1:
6.
For light and sound v = fλ
where v represents the velocity
f represents the frequency
λ represents the wavelength
λ = 2.69 m
v = 346 m/s
f = v/λ = 346/2.69 = 128.62
Time period is the reciprocal of frequency
T = 1/128.62 = 0.0077775 s
Step 2:
7.
λ = 110 cm = 1.1 m
v = 2.42* m/s
f = 2.42*/1.1 = 2.2 *
T = 1/(2.2*) = 4.545 *
s
Step 3:
8.
λ = 10.6 m
v = 346 m/s
f = v/λ = 346/10.6 = 32.64
Step 4:
9.
λ = 5.89 * m
v = 1.94 * m/s
f = v/λ = 3.29 *
The frequency of the wave is 132 Hz
Explanation:
To calculate the speed of the wave, we can use the following formula:
where
d is the distance travelled by the wave
t is the time elapsed
For the sound wave in this problem, we have:
d = 660 m is the distance travelled
t = 2 s is the time interval considered
Substituting and solving for v, we find the speed of the sound wave:
Now we can calculate the frequency of the wave by using the wave equation:
where
v = 330 m/s is the speed of the wave
is the wavelength
f is the frequency
Solving for f, we find:
Learn more about wavelength and frequency:
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