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Ejercicios propuestos:

1. Un disco de 15 cm de radio gira a razón de 33 vueltas por minuto. Calcula:
a. La velocidad angular en rad/s.
b. La velocidad lineal de un punto de su periferia.



Answer :

GinnyAnswer

Final answer:

The angular velocity of the disk at t=5.0s is 7.0 rad/s. The linear velocity of a point on the periphery of the disk is 105 cm/s. Calculations are based on given values and formulas.


Explanation:

a. The angular velocity can be calculated using the formula: angular velocity (ω) = initial angular velocity + (angular acceleration × time). Substituting the given values, we get ω = 2.0 rad/s + (1.0 rad/s² × 5.0 s) = 7.0 rad/s.

 

b. The linear velocity of a point on the periphery of the disk is given by the formula: linear velocity = radius × angular velocity. Substituting the values (radius = 15cm, ω = 7.0 rad/s), the linear velocity is 105 cm/s.


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