Question

V=72км/ч,d=1,5м.Найти:Частоту,Омега,Период

Answer 1

Условие стоит давать полностью)

Answer 2

To find the frequency, angular velocity, and period, we need to assume that the given information is about circular motion. In this case, "V" represents the linear velocity, and "d" represents the diameter of the circular path. Let's proceed with the calculations:

Given: Linear velocity, V = 72 km/h = 72,000 m/3600 s = 20 m/s (since 1 km/h = 1000 m/3600 s) Diameter, d = 1.5 m

1. Frequency (f): The frequency (f) represents the number of complete revolutions or cycles per unit time. In this case, the object is moving in a circle, so we can find the frequency using the formula:

f = V / (π * d)

where π (pi) is approximately 3.14159.

f = 20 m/s / (3.14159 * 1.5 m) f ≈ 20 m/s / 4.7124 m f ≈ 4.244 Hz

2. Angular Velocity (ω): Angular velocity (ω) represents the rate of change of angular displacement with respect to time. It is measured in radians per second. We can calculate angular velocity using the formula:

ω = V / (r)

where "r" is the radius of the circular path.

Since the diameter (d) is given, we can find the radius (r) by dividing the diameter by 2:

r = d / 2 r = 1.5 m / 2 r = 0.75 m

Now, we can calculate the angular velocity:

ω = 20 m/s / 0.75 m ω ≈ 26.67 rad/s

3. Period (T): The period (T) is the time taken to complete one full revolution or cycle. It is the inverse of frequency, so we can find it using the formula:

T = 1 / f

T = 1 / 4.244 Hz T ≈ 0.2356 s

Summary of results: Frequency (f) ≈ 4.244 Hz Angular Velocity (ω) ≈ 26.67 rad/s Period (T) ≈ 0.2356 s