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Object's centripetal acceleration is 20 m/s^2
An object moving in a circular path with a constant speed, does have an acceleration, as it changes its direction as the object rotates. This centripetal acceleration can be found using below mentioned relation:
Ac(centripetal acceleration) = (v^2)/r; where, v is the constant speed of object and r is the radius of circular motion
Therefore, Ac = 10*10/5 = 20 m/s2
Answer:
64.1°C
Explanation:
mass of automobile, M = 1500 kg
velocity, v = 35 m/s
mass of each brake, m = 8 kg
specific heat of iron, c = 448 J/kg°C
According to the conservation of energy
the kinetic energy of automobile = thermal energy of brakes
0.5 Mv² = 4 x m x c x ΔT
where, ΔT is the rise in temperature of the brake
0.5 x 1500 x 35 x 35 = 4 x 8 x 448 x ΔT
ΔT = 64.1°C
Thus, the change in temperature of each brake is 64.1°C.
Answer:
v= 1.71 m/s
Explanation:
Given that
Distance between two successive crests = 4.0 m
λ = 4 m
T= 7 sec
T is the time between 3 waves.
3 waves = 7 sec
1 wave = 7 /3 sec
So t= 7/3 s
We know that frequency f
f= 1/t= 3/7 Hz
Lets take speed of the wave is v
v= f λ
f=frequency
λ=wavelength
v= 3/7 x 4 = 12 /7
v= 1.71 m/s