Given:
Circumference = 2 m
Angular speed, ω = 1 rev/s = 2π radians/s

If the radius is r, then
2πr = 2
r = 1/π m

The linear (tangential) speed is
v = rω
= (1/π m)*(2π rad/s) = 0.5 m/s

Answer: 0.5 m/s

6 0

3 years ago

Using a scale of 1 cm to represent 10 N, find the size and direction of the resultant of forces of 50 N

marta [7]

Answer:

$74.31\ \text{N}$

$16.59^{\circ}$

Explanation:

P = 50 N

Q = 30 N

$\theta$ = Angle between the vectors = $45^{\circ}$

Resultant is given by

$R=\sqrt{P^2+Q^2+2PQ\cos\theta}\\\Rightarrow R=\sqrt{50^2+30^2+2\times 50\times 30\times \cos45^{\circ}}\\\Rightarrow R=74.31\ \text{N}$

Angle of resultant

$\phi=\tan^{-1}\dfrac{Q\sin\theta}{P+Q\cos\theta}\\\Rightarrow \phi=\tan^{-1}\dfrac{30\times \sin45^{\circ}}{50+30\cos45^{\circ}}\\\Rightarrow \phi=16.59^{\circ}$

Magnitude of the resultant is $74.31\ \text{N}$

Direction of the resultant is $16.59^{\circ}$

4 0

3 years ago

Which property of physical changes explains why matter is conserved in a physical change? The arrangements of particles do not c

Gala2k [10]

Answer: Option (d) is the correct answer.

Explanation:

Physical change is defined as a change in which no new product is formed, that is, there is no change in chemical composition of a substance.

For example, when ice melt then solid state of water changes into liquid state.

That is, arrangement of atoms changes and bond between the atoms do no break during a physical change.

Thus, we can conclude that the property bonds between atoms do not break; it is only the arrangement that changes explains why matter is conserved in a physical change.

4 0

3 years ago

Read 2 more answers

A roller coaster is at the top of a 102 m hill and a mass of 120 kg. The coaster (at this

dybincka [34]