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Helga [31]
3 years ago
13

Una mujer esta segando su prado con segadora eléctrica cuya cuchilla gira a 1500rpm. La mujer encuentra una zona de hierba alta

e incrementa la celeridad a 2000rpm durante un intervalo de 3.40s con una aceleración angular constante. Cuál es la aceleración angular?.2 Cuántas revoluciónes ha realizado la cuchilla mientras estaba acelerando?
Physics
1 answer:
maks197457 [2]3 years ago
3 0

Answer:

α= 15.4[rad/s^2], 500 [rev/min]

Explanation:

La aceleración angular constante esta definida por la siguiente ecuación:

w=w_{0} + \alpha *t\\Donde:\\w=2000 [\frac{rev}{min}]*[\frac{1min}{60s} ] *[\frac{2\pi rad}{1 rev} ]=209.4[\frac{rad}{s} ]\\w_{0} =1500 [\frac{rev}{min}]*[\frac{1min}{60s} ] *[\frac{2\pi rad}{1 rev} ]=157.1[\frac{rad}{s} ]\\t=3.4[s]\\reemplazando:\\209.4-157.1=\alpha *(3.4)\\\\alpha =15.4[\frac{rad}{s^{2} } ]

Para poder llegar a las 2000 [revoluciones /min] estando en 1500 [rev/min], la cuchilla tuvo que incrementar su numero de revoluciones a 500 [rev/min]. Mientras aceleraba.

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