Answer:
Explanation:
given,
ω₁ = 120 rpm
1 rpm = 
rad/s
= 12.56 rad/s
α = - 4 rad/s²
diameter of disk = 20 cm
final angular velocity = 0
t = 
t = 
t = 3.14 s.
2) 
= 
= 19. 72 radians
3) total angular distance rotated
x = θ R
x = 19.72 × 0.1 = 1.97 m
x = 2 m
Answer:

Explanation:
Let the car will overtake the truck after time "t" seconds
so here we can say that after time "t" seconds the distance covered by the car will be same as that of distance covered by truck
So we have

so we have


so now we have


Answer:
The police car is moving at 41.24 m/s.
Explanation:
To find the speed of the police car we need to use the Doppler equation:
Where:
v: is the speed of the sound = 343 m/s
: is the speed of the receiver = 12 m/s
: is the speed of the source =?
f: is the observed frequency = 959 Hz
f₀: is the emitted frequency = 1038 Hz
Both terms are positive in the fraction because the velocity of the sound is in the opposite direction to both velocities of the police car and the other car.
By solving the above equation for
we have:
Therefore, the police car is moving at 41.24 m/s.
I hope it helps you!