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1 month ago

A wheel completes 5.6 revolutions in 8 seconds.

Physics

2 answers:

Ostrovityanka [3.2K]1 month ago

5 0

Answer:

$86.15\pi rad/min$

Explanation: Angular velocity refers to the number of revolutions made in a specific amount of time.

We need to convert the revolutions into radians and the given time from seconds to minutes,

Given;

$1rev=2\pi rad\\therefore\\5.6rev=5.6*2\pi rad\\= 11.2\pi rad$

Also,

60s = 1 min

$8s=\frac{8}{60}min\\=0.13min$

We subsequently divide the number of radians by the time in minutes.

$\omega =\frac{11.2\pi}{0.13min}\\\omega=86.15\pi rad/min$

serg [3.5K]1 month ago

3 0

Answer:

the angular velocity in rad per minute would be 263.89 rad/min

Explanation:

Angular Velocity is how quickly an object travels along a circular path, measured in rev/min, rad/m.

Given that the wheel has

rev = 5.6

and time = 8 sec = 8 /60 = 2/15 minute

The angular velocity in rev/min would be;

ω = number of revolutions/time

ω = 5.6 rev / (2/15 minute)

ω = 5.6 rev x 15/2 minute

ω = 42 rev/minute

the angular velocity in rev/minute is 42 rev/minute, and to convert it to rad/minute we calculate;

1 rev = 2π rad/min

42 rev/min = 42 rev/min x 2π rad/min

= 263.89 rad/min

Therefore the angular velocity in rad per minute would be

263.89 rads/min

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