# Question: q1 a a wheel 90 cm in diameter turns at...

###### Question details

**Q1**

(a) A wheel 90 cm in diameter turns at 100 rev/min. What is the **angular velocity** of the wheel (in radians per second) and what is the **linear velocity** of a point on the rim of the wheel (in meters per second)?

(b) An air compressor is powered by a 160 rad/s electric motor using a V belt drive. The motor pulley is 8 cm in radius, and the tension in the V belt is 120 N on one side and 50 N on the other. Find the **power** of the motor?

**Q2: ** A spring has a 0.5-s period of oscillation when a 35-N weight is suspended from it. By how much wills the spring stretch when a 50-N weight replaces the 35-N weight?

**Q3: **

**(a)** How many times more intense than the 40-dB sound of a person talking is the 100-dB sound of a power lawn mower?

**(b)** A 1.4-kW radio transmitter is coupled to an antenna by a cable whose attenuation is 1.8 dB. How much power reaches the antenna?

**Q4:**

**(a) **A newspaper is held 6 m from a 2000-cd street lamp at midnight. What is the maximum illumination of the newspaper?

(b) Find the solid angle subtended at the center of a sphere of radius 3.0 m by an area of 100 cm2 on its surface.

**Q5:** **)**

A match **5 cm** long is placed **20 cm** in front of a concave mirror whose focal length is **50 cm**. Find the location, size, and nature of the image.

**(b)** A double convex lens has surfaces whose radii are **40 cm** and **50 cm**. The index of refraction of the glass is **1.52**. Find the focal length of the lens.

**Q6** A horizontal pipe 3.5 cm in radius is joined to a pipe 14 cm in radius.

(a) If the velocity of seawater in the small pipe is 6 m/s and the pressure in there

is , find the velocity and pressure in the large pipe.

(b) What is the rate of flow through the pipe?