Answer:
The angular speed of the wheel is 0.452 rad/s
Explanation:
The angle through which the car wheel turns, Δθ = 277° = 277/360 × 2·π radian
The time it takes for the car wheel to turn, Δt = 10.7 s
The angular speed, ω is given by the following equation;

Substituting the known values for Δθ and Δt gives;

The angular speed of the wheel = 0.452 rad/s
Answer:
30 C
Explanation:
Given:
Current flowing in the circuit (I) = 50 A
Start-up time (t) = 0.60 s
Now, we know that, charge drawn in through a cross sectional area of the circuit is given as:

Where, 'q' is the amount of charge drawn, 'I' is the current and 't' is the start-up time.
Now, plug in 50 A for 'I', 0.60 s for 't' and solve for 'q'. This gives,

Therefore, the amount of charge drawn in the circuit at the start-up of the compressor of an air conditioner is 30 C.
Answer:
44.4°
Explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
You're given an unknown angle, the adjacent side to that angle, and the hypotenuse. So use cosine.
Cosine = Adjacent / Hypotenuse
cos A = 10 / 14
A = cos⁻¹(5/7)
A ≈ 44.4°
Initial velocity = 25 m/s, angle 60°
sin (60°) = opposed leg / hypothenuse = Vertical velocity / Initial velocity
=> Vertical velocity = initial velocity * sin (60°) = 25 m / s * 0.866 = 21.65 m/s