Suppose a teenager puts her bicycle on its back and starts the rear wheel spinning from rest to a final angular velocity of 250
rpm in 5.00 s. (a) Calculate the angular acceleration in rad/s2. (b) If she now slams on the brakes, causing an angular acceleration of –87.3rad/s2, how long does it take the wheel to stop
1 answer:
You might be interested in
Answer: The spring of the spring is 25 N/m.
Explanation:
Mass of the body = 25 g= 0.025 kg (1 kg = 1000 g)
Oscillation is 4 sec = 20
Oscillation in 1 sec =
Frequency of the vibration of the spring =
Force constant can be calculated bu using the relation between the frequency and, mass and spring constant 'k'
The spring of the spring is 25 N/m.
Answer:
moment of inertia of sphere 2 is 32 times the moment of inertia of sphere 1
Explanation:
The moment of inertia of a solid sphere about its axis is
where
M is the mass of the sphere
R is the radius of the sphere
The mass of the sphere can be rewritten as
where
is the density
is the volume of the sphere
So the moment of inertia becomes
Calling R the radius of sphere 1, the moment of inertia of sphere 1 is
where is the density of steel, since the sphere is made of steel
Sphere 2 has twice the radius of sphere 1, so
R' = 2R
and so its moment of inertia is
So, the moment of inertia of sphere 2 is 4 times the moment of inertia of sphere 1.