A particle is moving in a plane with constant radial velocity \dot{r} = 4.30~\mathrm{m/s} r ˙ =4.30 m/s, having started at the origin. It also has a constant angular velocity \dot{\theta} = 2.14~\mathrm{rad/s} θ ˙ =2.14 rad/s. When the particle is 2.98~\mathrm{m}2.98 m from the origin, what is the magnitude of its acceleration in \mathrm{m/s^2}m/s 2 ?

a

b

Explanation:

From the question we are told that

  The radial  velocity is  

   The angular velocity is  

  The distance considered is  

Converting the angular velocity to its equivalent linear velocity (tangential velocity )  we have that

=>    

=>  

Generally the radial and the tangential velocity are perpendicular to each other and their resultant velocity is mathematically represented as

=>  

=>  

Generally the acceleration is mathematically represented as

=>    

=>      

luster is not a good characteristic to use by itself because luster is the property of minerals that indicates how much the surface of a mineral reflects light. the luster of a mineral is affected by the brilliance of the light used to observe the mineral surface.

according to jean piaget, in what stage of cognitive development are children able to understand conservation task?

b. preoperational

just took it