A 200-kg disk (I = 1/2 mR^2) with a radius of 3 m is spinning with an angular velocity of w = 6 s-1. A person with a mass of 50 kg initially stands at a distance of 1 m from the axle of the spinning disk, and then walks to a position 2 m from the axle of the disk.  Treat the person as a point mass (I = mR^2). What is the new angular velocity of the disk-person system?

A 40,000 kg truck is held up by 18 wheels. The air pressure inside of the tires is 60 psi = 4.13 X 105 Pa.  Suppose that this is also the pressure that the tires exerts on the ground. What is the area of each tire which presses on the ground?

An incompressible fluid flows into a circular cross-sectioned pipe with a diameter of d = 7 cm. The speed of the fluid is 10 m/s. The pipe changes diameter halfway along its length to a 10 cm diameter pipe. What is the speed of fluid flow in in this wider pipe?

A 3 mm diameter wire (with a circular cross section) which is 100 ft long when there is no force applied to it, stretches by 4 inches when a 8600 N tension force is applied to the wire. What is Young’s modulus for the material the wire is made of?

Change the following underlined parts into the honorific expressions. Please type ONLY Hiragana and do NOT use punctuation (。、） 1. どちらに住んでいますか。　　　。 2. 昨日は何を食べましたか。　　　。 3. 最近 、映画を見ましたか。　　　。

Answer the following questions.  1.どうすれば日本人の友だちができますか。 2.どうすれば有名になれますか。

What would you say in the following situations in Japanese?  1. Your boss always makes a long speech. He will make a speech at your wedding. Ask him to make it short. 2. Someone who lives next door loves Karaoke. He always sings very loud. Ask him to be quiet.

You are giving respectful advices to your guest.  Please type ONLY Hiragana and do NOT use punctuation (。、） 1. こちらのいすに座ってください。　　。　　　　Do not use 「おすわりください」 2. このタオルを使ってください。　　　。  

Choose the appropriate expression to complete the sentence. （１）    リー：スミスさん、　　けど、もうだいじょうぶ ？             スミス：うん、昨日の夜、 くすりを飲んだから、今日はもうだいじょうぶ 。 （２）    リー：(図書館の前) ここに 書いてあるよ。             スミス：あ、本当だ。じゃ、中では食べられないね。

Using the grammar pattern ‘～さ,’ rewrite the sentence correctly.　Do not use informal speech. Please type ONLY Hiragana and do NOT use punctuation (。、）. １）この電話がどのぐらい便利かは使った人しかわからないと思います。 　使った人しかわからないと思います。 ２）私には、部屋がどのぐらい広いかより、どのぐらいしずかかの方が大切です。 私には　　より、　　の方が大切です。