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ale4655 [162]
2 years ago
8

What is the magnitude of the resultant of a 7.0-N force acting vertically upward and a 5.0-N force acting horizontally.

Physics
1 answer:
irakobra [83]2 years ago
6 0

Answer:

Resultant force = 8.6N

Explanation:

Using Pythogorus' theorem

{a}^{2}  +  {b}^{2}  =  {c }^{2}  \\  {7}^{2}  +  {5}^{2}  =  {r}^{2} \\ 49 + 25 =  {r}^{2}  \\ 74 =  {r}^{2}  \\   \sqrt{74}  =   \sqrt{ {r }^{2} }  \\ 8.6 = r \\

Resultant force = 8.6N

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An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.300 rev/s . The magnitude
Salsk061 [2.6K]

1) 1.2 m/s

First of all, we need to find the angular velocity of the blade at time t = 0.200 s. This is given by

\omega_f = \omega_i + \alpha t

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The tangential acceleration of a point rotating at a distance r from the centre of the circle is

a_t = \alpha r

where \alpha is the angular acceleration.

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

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We already calculate the tangential speed at point a):

v = 1.2 m/s

while the distance of a point at the end of the blade from the centre is

r = 0.400 m

Therefore, the centripetal acceleration is

a=\frac{1.2^2}{0.400}=3.6 m/s^2

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