A car of mass 1500 kg is negotiating a flat circular curve of radius 50 m with a speed of 20 m/s.
1 answer:
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Answer:
(a) The ratio of the pressure amplitude of the waves is 43.21
(b) The ratio of the intensities of the waves is 0.000535
Explanation:
Given;
density of gas, = 2.27 kg/m³
density of liquid, = 972 kg/m³
speed of sound in gas, = 376 m/s
speed of sound in liquid, = 1640 m/s
The of the sound wave is given by;
Where;
is the pressure amplitude
(b) when the pressure amplitudes are equal, the ratio of the intensities is given as;
Answer:
(a) 104 N
(b) 52 N
Explanation:
Given Data
Angle of inclination of the ramp: 20°
F makes an angle of 30° with the ramp
The component of F parallel to the ramp is Fx = 90 N.
The component of F perpendicular to the ramp is Fy.
(a)
Let the +x-direction be up the incline and the +y-direction by the perpendicular to the surface of the incline.
Resolve F into its x-component from Pythagorean theorem:
Fx=Fcos30°
Solve for F:
F= Fx/cos30°
Substitute for Fx from given data:
Fx=90 N/cos30°
=104 N
(b) Resolve r into its y-component from Pythagorean theorem:
Fy = Fsin 30°
Substitute for F from part (a):
Fy = (104 N) (sin 30°)
= 52 N
