Question

F=5Н m=100г r=5см Найти угловую скорость

Answer 1

F = ma
a = F \ m
a = 5 \ 0,1 = 50 м\с^2

$a = \frac{v ^{2} }{r}$

$v ^{2} = ar$

$v = \sqrt{ar}$

$v = \sqrt{50 \times 0.05} = 1.6$ м\с

$a = wv$

$w = \frac{a}{v}$

$w = \frac{50}{1.6} = 31.25$ рад\с

Answer 2

To find the angular velocity (angular speed), we can use the formula:

Angular velocity (ω) = Linear velocity (v) / Radius (r)

First, let's convert the given values to the appropriate units:

Force (F) = 5 N (Newtons) Mass (m) = 100 g (grams) = 0.1 kg (kilograms) [since 1 kg = 1000 g] Radius (r) = 5 cm = 0.05 m (meters)

Now, let's calculate the linear velocity (v) using the formula:

Force (F) = Mass (m) × Acceleration (a)

Acceleration (a) = F / m Acceleration (a) = 5 N / 0.1 kg Acceleration (a) = 50 m/s²

Next, we can calculate the linear velocity (v) using the formula:

v = r × ω

To find ω, rearrange the equation:

ω = v / r

We have the acceleration (a) and radius (r), so we can now find the linear velocity (v):

v = a × t

Here, 't' is the time taken to achieve this velocity. However, the time is not given, so we cannot determine the exact angular velocity without that information. If you have the time (t) value, please provide it, and I'll be happy to help you find the angular velocity.