A wheel with radius 30 cm is rotating at a rate of 10 rev/s. At t = 10 s the angular speed begins to increase at a rate of 1.4 rad/s/s. At t = 15 s, what is the angular speed in radians per second?

What term designates the potential energy in a food?

For an account that earns interest compounded annually, use a calculator to find the balance of the account. Round your answer to the nearest cent. P=$600 r=9.3%, t=2 years

¿A quién se refiere (refers) cada frase: Ana, Elena, Ignacio, Javier o Jorgito? No me interesan nada las telenovelas.

A wheel with radius 30 cm is rotating at a rate of 10 rev/s. What is the angular speed in radians per second?

A yo-yo is made from two uniform disks, each with mass m and radius R, connected by a light axle of radius b. A light, thin string is wound several times around the axle and then held stationary while the yo-yo is released from rest, dropping as the string unwinds. Find the linear acceleration and angular acceleration of the yo-yo and the tension in the string.

In uniform circular motion, the net force is perpendicular to the velocity and changes the direction of the velocity but not the speed. If a projectile is launched horizontally, the net force (ignoring air resistance) is perpendicular to the initial velocity, and yet the projectile gains speed as it falls. What is the difference between the two situations?

A disk of radius 0.2 m and moment of inertia $1.5 \mathrm{kg} \cdot \mathrm{m}^{2}$ is mounted on a nearly frictionless axle. A string is wrapped tightly around the disk, and you pull on the string with a constant force of 25 N. After a while the disk has reached an angular speed of 2 rad/s. What is its angular speed 0.1 seconds later? Explain briefly.

Find the function whose tangent line has slope $x e^{-2 x^{2}}$ for each x and whose graph passes through the point (0, -3).

On a separate sheet of paper, explain the following term by using it correctly in a sentence. arboreal

Three people have been exposed to a certain illness. Once exposed, a person has a 50–50 chance of actually becoming ill. a. What is the probability that exactly one of the people becomes ill? b. What is the probability that at least two of the people becomes ill? c. What is the probability that none of the three people becomes ill?

Match each term associated with a bank reconciliation with its description.

$$\begin{matrix} \text{Terms} & \text{Descriptions}\\ \hline \text{\_\_\_\_\_ 1. Checks outstanding} & \text{a. Cash receipts received by the company but not yet recorded by the bank.}\\ \text{\_\_\_\_\_ 2. NSF checks} & \text{b. Fees imposed by the bank to the company for providing routine services.}\\ \text{\_\_\_\_\_ 3. Company error} & \text{c. Checks written to the company that are returned by the bank as not having adequate funds.}\\ \text{\_\_\_\_\_ 4. Interest earned} & \text{d. Checks written by the company but not yet recorded by the bank.}\\ \text{\_\_\_\_\_ 5. Deposits outstanding} & \text{e. Money earned on the average daily balance of the checking account.}\\ \text{\_\_\_\_\_ 6. Bank service fees} & \text{f. The company recorded a deposit twice.}\\ \end{matrix}$$

Translate into English and indicate whether the sentence contains a perfect passive verb or a perfect passive participle: Hostes in proelio captos videre non potuimus.

A board of length 2d = 6 m rests on a cylinder (the "pivot"). A ball of mass 5 kg is placed on the end of the board. On a free-body diagram, show the forces acting on the ball + board system, in their correct locations.